Inequalities With One Variable And One Step

• -9 < x < 9

• x > -3 or x > 3

• -3 < x < 3

• x < -3 or x >3

• r > 11/4 or r < 9/4

• r > 5 or r ≤ 0

• r > 5 or r < 0

• r < -5 or r > 0

Solve the following inequality:

−5|x − 4| > −20

• x < 8 and x > 0

• x > 8 or x < 0

• all real numbers

• no solution

d + 1 | - 7 ≥ -1

• No Solution

• All Real Numbers

• d ≤ -3  or  d ≥ 1

• -1 < d < 3

Solve.
|5x + 7| < 22

• x < -5 ⅘ or x > 3

• -5 ⅘ < x < 3

• -3 < x < 5 ⅘

• x < -3 or x > 5 ⅘

What is the correct first step?

• divide by 10

• multiply by 10

• make it two inequalities with an "or"

• make it two inequalities with and "and"

Solve the following absolute value inequality:

| x − 2 | > 3

• 2 < x < 10

• x < 2 or x > 10

• −1 < x < 5

• x < −1 or x > 5

| 2w - 1 | < 11

• No Solution

• All Real Numbers

• -5 < w < 6

• -6 < w < 5

For the inequality |4x - 3| > -4, what is the solution?

• All real numbers

• x > 0

• x < 0

• x = 0

Can you determine the solution of the given inequality without solving?

• Yes, the absolute value must be positive; all values will be greater than negative six. The answer is all real numbers. 

• Yes, the answer is no solution. 

• No, the inequality will need to be divided into an AND or and OR compound inequality. 

• No, their is not enough information to complete this problem.