Solve and Graph Inequalities Interval Notation

Solve:

3 | 2x + 7| - 7 < -4

• x < -3 or x > -5/3

• -4 < x < -3

• all real numbers

• no solution

Solve.

-5|x - 4| > -20

• 0 < x < 8

• x > 8 or x < 0

• all real numbers

• no solution

Solve the inequality below. Express the solution in interval notation.

6 - 2|m -3| > -4

3x - 4 < -13 or 7x + 1 > 22

• All Real numbers

• x > 3 and x > -9

• The answer is not listed

• x < -3 or x > 3

Solve the following inequality. Express the solution in interval notation:  \( -3\le2x-1\le5 \)

•  [-1, 3]

• (-1, 3)

• (1, 3)

• [1, 3]

What is the interval notation for the solution graphed here?

• [-2, 5)

• (-2, 5]

Express the following interval as an inequality:

(-7, 15]

• -7 ≤ x ≤ 15

• -7 < x ≤ 15

• -7 ≤ x < 15

• -7 < x < 15

Solve:
 |x + 3| > 8

• x > 5 or x < -11

• x > 5

• all real numbers

• no solution

Solve and graph

• A

• B

• C

• D

-8<2(x+4) or -3x+4>x-4

• No solutions

• x<-8 or x<2

•  x>-8 or x<2

• x<-8 and x<2