Solve the following compound inequality.
5x + 7 ≤ -3 OR 3x - 4 ≥ 11

A. -2 ≤ x ≤ 5

B. x ≤ -2 OR x ≥ 5

C. x ≤ -15 OR x ≥ 12

D. x ≥ 5

Thank you!

Answers

Answer 1

Answer:

B

Step-by-step explanation:

We have the compound inequality:

[tex]5x+7\leq-3 \text{ or } 3x-4\geq 11[/tex]

Since this is an “OR” inequality, we can solve each inequality individually. So:

1)

We have:

[tex]5x+7\leq-3[/tex]

Subtract 7 from both sides:

[tex]5x\leq -10[/tex]

Divide both sides by 5:

[tex]x\leq-2[/tex]

So, the first solution is above.

2)

We have:

[tex]3x-4\geq 11[/tex]

Add 4 to both sides:

[tex]3x\geq15[/tex]

Divide both side by 3:

[tex]x\geq5[/tex]

Our second solution is above.

Therefore, our solution is:

[tex]x\leq -2 \text{ or } x\geq5[/tex]

Since our original inequality is “OR,” our solution set remains an “OR.”

Hence, our answer is B.


Related Questions

if 2x + 5y = -5 what is x if y = -5
HELP ASAP

Answers

Answer:

x=10

Step-by-step explanation:

first substitute y with the value (-5)

2x+5(-5)=-5 which is simplified to 2x+-25=-5

add 25 to -5 which gives you 2x=20

then divide 20 by 2 which makes x=10

Express each ratio as a fraction in the simplest form
12 blue cars out of 48 cars

Answers

The ratio in simplest form is 1/4

The ratio is 12/48 and yo I just have to simplify it

Can you pls mark brainleist

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Answers

Answer:

In google

Step-by-step explanation:

Is all

Let a(x) be the amount of money remaining on Hillary's gift card after purchasing x apps on her phone.



Since a(12) = (38, 15,35, 65) Hillary will have
(35,15,38,12) dollars remaining on her card after purchasing
(12,15,35,38) apps.

Answers

Answer:

she purchased 12 apps costs 12 *1.25 = 15 . So , she spent 15 ... Since a(12) = 35, Hillary will have 35 dollars remaining on her card after purchasing 12 apps.

Step-by-step explanation:

hopefully this helps

Answer:

35, 35, & 12.

Step-by-step explanation:

i did the test and i got it right :D

Which function has a graph with a y-intercept of -4?
A. 2x – 4y = 8
B. 2x – 8y = -4
C. 4x – 2y = -8
D. 4x - 2y = 8

Answers

the correct answer would be D. if you rearrange the equation, and cross out common factors, it equals -4

Answer:

D

slope is 2 and y-intercept is (0, -4)

Step-by-step explanation:

4x-2y= 8  move variable x to the right (change signs)

- 2y= -8 + 4x   Divide both sides by 2

y= -4 + 2x        reorder terms using communitive property

y = 2x  -4

y= mx + b

Please help it’s due in an hour! It’s algebra.

Answers

Answer:

You might wanna double check some of these because i might've forgot to flip some of the < and > signs but I'm pretty sure its correct

1) y = x < -18 and y = x < 18

2) y  = -3 < x < 3

3) x = 1 < y < 6 (it just gets simplified)

4) x = -3 > y > -18

5) y = -2 > x  and y = x < 3.5

6) y = 8.5 > x > 5.5

7) y = -5.75 < x < -3.5

8) y = 1 > x > 2.25

9) -17 < x < -5

Step-by-step explanation:

Richard spent $30 at a store. He spent $14 on a book and bought some CD's at $4 each. How
many CD's did Richard buy at the store? Write an equation to represent the problem, then
solve.

Answers

Answer:

4

Step-by-step explanation:

30 minus 14 = 16 and 16 divided by 4 is 4. so the answer is 4

Solve the linear equation

3.4 + 2(9.7 – 4.8x) = 61.2

Answers

The answer would be -4

The product of 2 and y is at least 10. solving inequalities

Answers

2•y>10
The “>” has a line underneath it

Answer:

2y>10

y>5 is your answer

A news report says that 9% of middle school students are on the track team. There are 600 students in your middle school How many students in your school would you expect to be on the track team? HE Pad SATTE BAR HG West nus SAUNA w 1​

Answers

Answer: 54

9% of 600 would be 54.

Approximate the value of the square root of 110 to the nearest hundredth

Answers

Answer:

10.4900

Step-by-step explanation:

pls make a brainliest

2. through: (8,5), perpendicular to y=-1/2x +4

Answers

Perpendicular slope: flip sign and reciprocal = 2
Y = 2x + b
Plug in point (8,5)
5 = 2(8) + b
5 = 16 + b
b = -11
Equation: y= 2x - 11

A building has 63 apartments and 70 bathrooms. What is the ratio of apartments to bathrooms in the building?

Answers

Answer:

63:70

Step-by-step explanation:

help me :<<<<<<<<<<<<_​

Answers

Exact form : 45/4
Decimal form : 11.25
mixed number form : 11 1/4

The steps in solving 5b - 6 = 24 are:

Answers

Answer:

5

Step-by-step explanation:

5

5b-6=24
+6 +6
5b=30
\5 /5
B=6
I hope this helps! Comment if you need a better explaination

Add. 2/3 + 1/4 ...............................

Answers

Answer:

11/12

Step-by-step explanation:

2/3+1/4

8/12+3/12= 11/12

Solve for x.
Answer Choices:
7

8

9

-11

Answers

Answer:

x = -11

Step-by-step explanation:

Well the two equations add up to 180 because they are a linear pair.

x + 56 + x + 146 = 180 (collect like terms)

2x + 202 = 180 (subtract 202 on both sides)

2x = -22 (divide by 2 on both sides)

x = -11

Hope this helps ya!!

X+56+x+146=180 (Because they are linear pair and are equal to 180 degrees)

(Combine like terms)

2x+202=180 (Subtract 202 to both sides because we want the x isolated)

2x+202=180
-202 -202
2x=-22 (Divide)
2 2
X=-11
Hope this helps :D

Factor completely...I need help with my algebra 2 assignment!

Answers

1.) (x+2) (x+4) (x-4)

2.) (3x-4) (x^2 +3)

3.) 2x(2x-5) (x-4)

4.) (4x+3) (2x^2 +1)

5.) (4x-5) (16x^2 + 20x+25)

6.) (x+2) (x-2) (x^2+3)

7.) 2x^2(2x+3) (4x^2-6x+9)

8.). (4x-1) (x+1) (x-1)

*Hope this helped, good luck :-)

SINE COSINE TANGENT If someone who acctually understand this could help me por favor :)

Answers

Answer:

here it is, hope it helps

Answer:

Step-by-step explanation:

sin M = [tex]\frac{3\sqrt{11} }{18} = \frac{\sqrt{11} }{6}[/tex]

cos M = [tex]\frac{15}{18} = \frac{5}{6}[/tex]

tan M = [tex]\frac{3\sqrt{11} }{15} = \frac{\sqrt{11} }{5}[/tex]

[EASY] What's the slope of the line?? PLEASE HELP

Answers

Answer:

-3/1

Step-by-step explanation:

you go down 3, and to the right one. slope is rise over run so -3 over 1

Tommy bought stamps at the post office. Some of the stamps had a snowflake design, some had a truck design, and some had a rose design. Tommy bought 14 snowflake stamps. He bought 5 more truck stamps than snowflake stamps, and 5 fewer rose stamps than truck stamps. How many stamps did Tommy buy in all? Show your work, how you came up with the answer.

Answers

Answer:

47

Step-by-step explanation:

s = Number of stamps with snowflake design = 14

Number of stamps with truck design is 5 more than snowflake design

[tex]t=s+5\\\Rightarrow t=14+5\\\Rightarrow t=19\ \text{stamps}[/tex]

Number of stamps with rose design is 5 fewer than truck stamps

[tex]r=t-5\\\Rightarrow r=19-5\\\Rightarrow t=14\ \text{stamps}[/tex]

Total number of stamps

[tex]s+t+r=14+19+14\\ =47[/tex]

So total number of stamps Tommy bought is 47.

A circle has a radius 30 cm. What is the area? Show your
work.

Answers

Answer:

I believe the area = 2,826

Step-by-step explanation:

A=pie×radius²

A= 3.14×30²

A=3.14×900

A=2,826

PLEASE HELP, #30 and #40 !! DUE SOON

Answers

Answer:

38. x = 60

40. x = 10

Step-by-step explanation:

38.

The segment labeled 30 connects the midpoints of two sides of a triangle, so it is parallel and half the length of the third side.

x = 2 * 30 = 60

40.

Look at the big outer triangle.

Its left side has length x. It is made up of two segments that are congruent.

The right side of the big triangle is made up of two segments that are congruent and are also congruent to the segments of the left side. That makes the left and right sides of the big triangle congruent. This is an isosceles triangle, so its base angles are congruent. The left base angle measures 60, so the right base angle also measures 60. That means the top angle also measures 60. This triangle is isosceles and equilateral.

Since the segment measuring 5 has endpoints that are midpoints of two sides of a triangle, it is parallel to the third side and half its length.

The bottom side of the triangle measures 2 * 5 = 10. Since the triangle is equilateral, then x = 10.

A furniture store had a chair that costs $42. The owner put it on sale for 20% off. How much is the chair now?

Answers

Answer:

$33.60

Step-by-step explanation:

Answer:

33.60

Step-by-step explanation:

20% of 42 is 8.40. Subtract that from 42 to get your answer.



A survey of 100 parks showed the following.
37 had camping.
28 had camping and hiking trails.
69 had hiking trails. 33 had hiking trails and biking paths.
58 had biking paths. 15 had hiking trails, biking paths and camping.
22 had camping and biking paths.

Answers

Answer:

A) 2

B) 71

c) 4

D)42

Step-by-step explanation:

Draw the Venn diagram starting from the intersection of all

Can someone plz help me

Answers

Answer:

D)

Step-by-step explanation:

please help. its on ratio​

Answers

Answer:

You:  6

Friend:  12, 16

Your friend sold 16 tickets

Step-by-step explanation:

u-U sincerely~ MiHa

help much? brainliest if i can

Answers

Answer:

Option 1:[tex]y = -\frac{2}{3}x+5[/tex] is the correct answer.

Step-by-step explanation:

The slope-intercept form of a line is given as:

[tex]y = mx+b[/tex]

Here m is the slope and b is the y-intercept

m is calculated using the formula

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Given points are:

[tex](x_1,y_1) = (-3,7)\\(x_2,y_2) = (9,-1)[/tex]

Putting the values in the formula

[tex]m = \frac{-1-7}{9+3}\\= \frac{-8}{12}\\=\frac{-2}{3}[/tex]

Putting m=-2/3 in equation

[tex]y= -\frac{2}{3}x+b[/tex]

Putting (9,-1) in equation

[tex]-1 = -\frac{2}{3}(9)+b\\-1 = -6+b\\b = -1+6\\b = 5[/tex]

Putting the value of b

[tex]y = -\frac{2}{3}x+5[/tex]

Hence,

Option 1:[tex]y = -\frac{2}{3}x+5[/tex] is the correct answer.

A recipe for cookies calls for 1 cup of butter, twice as much sugar as butter, and three times as much flour as sugar. How many cups of flour will you need if you halve the recipe?

Answers

Answer : 3 cups

Explanation: if the sugar is as twice as much as butter we need 2 cups of sugar if flour is 3 times as much as sugar we’ll need 6 cups half of 6 is 3

Please help me before I fail... I really need some help

Answers

Answer:

sin 61 degrees = x/55

55 * sin 61 degrees = x

x is approximately 48.1 if I did the math right

Step-by-step explanation:

hope it helps! gl

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