Question

Solve x + 212
< 8.

Answer 1

Solve x + 2/1/2
< 8.(1 point)
Responses

x < 10/1/2
x < 10 and 1 half

x < 6/1/2
x < 6 and 1 half

x < 5/1/2
x < 5 and 1 half

x < 4/1/2

Answer 2

Willow solved an inequality and graphed the solution on the number line. Which of the following inequalities did she solve?

(1 point)
Responses

x - 213
< 216
x - 2 and 1 third < 2 and 1 sixth

x + 1.75 ≤ 5.75
x + 1.75 ≤ 5.75

x + 212
< 212
x + 2 and 1 half < 2 and 1 half

x - 1.5 ≤ 3
x - 1.5 ≤ 3
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Answer 3

Solve 6x < 54

Answer 4

Solve 3.4x ≥ 23.8. Make sure to write your inequality so that x comes first

Answer 5

Paolo solved an inequality and graphed the solution on the number line. Which of the following solutions did he graph?

(1 point)
Responses

x > 4
x > 4

x < 3.75
x < 3.75

x > 3
x > 3

x < 4

Answer 6

Question
Solve 8x - 14 ≤ 10. (1 point)
Responses

x ≤ -12
x ≤ -1 half

x ≤ 3
x ≤ 3

x ≤ 4
x ≤ 4

x ≤ 16
x ≤ 16

Answer 7

Solve 5.14x + 2.25 > 15.1.(1 point)
Responses

x > 3.9
x > 3.9

x > 12.85
x > 12.85

x > 2.5
x > 2.5

x > 6.71

Answer 8

Preston solved an inequality and graphed the solution on the number line. Which of the following inequalities did he solve?

(1 point)
Responses

3.4x - 1.2 ≥ 4.75
3.4 x - 1.2 ≥ 4.75

5.6x - 18.9 ≤ 0.7
5.6 x - 18.9 ≤ 0.7

0.9x + 2.8 ≤ 5.95
0.9 x + 2.8 ≤ 5.95

2.1x + 5.6 ≥ 8.75

Answer 9

What inequality is shown on the graph? Write your inequality with the variable coming first. Use the letter m for the variable. Write your answer using a decimal number.

(1 point)
Responses

m < 25.60
m < 25.60

m ≤ 25.60
m ≤ 25.60

m > 25.60
m > 25.60

m ≥ 25.60

Answer 10

Solve this problem by writing an inequality and solving an inequality. Five more than four times a number is less than 25. What are the possible values of the number? Show your work

Answer 11

To solve the inequality, we need to subtract 212 from both sides of the equation.

x < 8 - 212

Simplifying the right-hand side:

x < -204

Answer 12

To solve the inequality, we need to subtract 2 1/2 from both sides of the equation.

x < 8 - 2 1/2

Simplifying the right-hand side:

x < 5 1/2

Answer 13

Willow solved the inequality:

x + 1.75 ≤ 5.75

Answer 14

To solve the inequality, we need to isolate x by dividing both sides of the inequality by 6.

6x/6 < 54/6

Simplifying:

x < 9

Answer 15

To solve the inequality, we need to isolate x by dividing both sides of the inequality by 3.4. However, since we are dividing by a positive number, the direction of the inequality remains the same.

x ≥ 23.8 / 3.4

Simplifying:

x ≥ 7

Answer 16

Paolo graphed the solution:

x > 4

Answer 17

To solve the inequality, we need to isolate x by adding 14 to both sides of the equation.

8x - 14 + 14 ≤ 10 + 14

Simplifying:

8x ≤ 24

Next, we divide both sides of the equation by 8 to solve for x. Since we are dividing by a positive number, the direction of the inequality remains the same.

x ≤ 24/8

Simplifying:

x ≤ 3

Therefore, the correct solution is:

x ≤ 3

Answer 18

To solve the inequality, we need to isolate x by subtracting 2.25 from both sides of the equation.

5.14x + 2.25 - 2.25 > 15.1 - 2.25

Simplifying:

5.14x > 12.85

Next, we divide both sides of the equation by 5.14 to solve for x. Since we are dividing by a positive number, the direction of the inequality remains the same.

x > 12.85 / 5.14

Simplifying:

x > 2.5

Therefore, the correct solution is:

x > 2.5

Answer 19

Preston solved the inequality:

2.1x + 5.6 ≥ 8.75

Answer 20

I'm sorry, but I cannot see the graph you are referring to. Could you please provide more information or describe the graph so I can determine the correct inequality?

Answer 21

Let's represent the number as "x."

The expression "five more than four times a number" can be written as 4x + 5.

According to the problem, this expression is less than 25.

So, we can write the inequality as:

4x + 5 < 25

Next, we can solve this inequality:

Subtract 5 from both sides:

4x < 25 - 5
4x < 20

Divide both sides by 4 (since 4 is positive, the direction of the inequality remains the same):

x < 20/4
x < 5

Therefore, the possible values of the number x are all real numbers less than 5. In interval notation, it can be written as (-∞, 5).