Solving Inequalities with Interval Notation

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

6 - 2|m -3| > -4

Express the following in Interval Notation

-8 ≤ x < 8

• [-8, 8]

• [-8,8)

• (-8, 8]

• (-8, 8)

Express the following interval as an inequality:

[3, 5]

• 3 ≤ x ≤ 5

• 3 < x ≤ 5

• 3 ≤ x < 5

• 3 < x < 5

Express the following interval as an inequality:

(-7, 15]

• -7 ≤ x ≤ 15

• -7 < x ≤ 15

• -7 ≤ x < 15

• -7 < x < 15

Which is a solution of... 5(v + 3) > 10v - 10

• (-∞, 5)

• (5, ∞)

• (-5, ∞)

• (-∞, -5)

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

• x < -3 or x > -5/3

• -4 < x < -3

• all real numbers

• no solution

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

What is the interval notation for the solution graphed here?

• [-2, 5)

• (-2, 5]

Look at the graph. Write the inequality in interval notation.

• (-2,5)

• (-∞,-2)⋃(5,∞)

• [-2,5]

• (-∞,-2]∪[5,∞)

Write the following in interval notation.

x < 8

• (8, -∞)

• (-∞, 8]

• (-∞, 8)