Interval Notation and Solving Equations

Express the following interval as an inequality:

(-7, 15]

• -7 ≤ x ≤ 15

• -7 < x ≤ 15

• -7 ≤ x < 15

• -7 < x < 15

What interval notation does the number line graph represent?

• [∞, -5)

• (∞, -5)

• [-5, ∞)

• (-5, ∞)

Solve the following inequality. Express the solution in interval notation: 5z - 2 < 13 + 2z

• (5, ∞)

• (-∞, 5)

• (1, ∞)

• (-∞, 1)

Which is a solution of...

5(v + 3) > 10v - 10

• (-∞, 5)

• (5, ∞)

• (-5, ∞)

• (-∞, -5)

• x ≤ -7

• x ≥ 29

• x ≥ -7

• x ≤ 29

Solve:
 |x + 3| > 8

• x > 5 or x < -11

• x > 5

• all real numbers

• no solution

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