Solve and Graph Inequalities Interval Notation

Why do I draw a closed circle when it's less than or equal to or greater than or equal to?

• Because we are INCLUDING that solution

• Because we are NOT INCLUDING that solution

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5

• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x < 5

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -1 < x < 3

• 1 < x < 3

• 1 ≤ x ≤ 3

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: 5z - 2 < 13 + 2z

• (5, ∞)

• (-∞, 5)

• (1, ∞)

• (-∞, 1)

Solve 5( 6 + 3r) + 7 ≥ 127. Express the solution in interval notation.

• (-∞, 6]

• [6, ∞)

• (-∞, -6]

• [-6, ∞)

Solve and write your answer in interval notation. 28-7x≤−4(−7x−7)

• (0, ∞)

• [0, ∞)

• (0, ∞]

• (-∞, 0]

Express the following in Interval Notation

-8 ≤ x < 8

• [-8, 8]

• [-8,8)

• (-8, 8]

• (-8, 8)

Which is a solution of...

5(v + 3) > 10v - 10

• (-∞, 5)

• (5, ∞)

• (-5, ∞)

• (-∞, -5)

• x ≤ -7

• x ≥ 29

• x ≥ -7

• x ≤ 29