Multi-Step Inequalities and Interval Notation

Match the graph with its inequality.

• 4(b-3) - 6 > –2

• 4(b+2) +4 < –2

• 4(b+3) - 6 ≥ –2

• 4(b+3) -6 ≤ –2

Graph the solution set of the inequality.

–4n + 1 > –23

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Write the following in interval notation

x ≥ 100

• (0, 100]

• (∞, 100]

• [100, ∞)

• (∞, 100)

Write the following solution in interval notation:

z < 20

• [ 20,∞)

• ( 20,∞)

• ( -∞ , 20)

• ( -∞ , 20]

Write the following solution in interval notation:

x ≥ 6

• ( -∾ , 6]

• ( -∾ , 6 )

• ( 6, ∾ )

• [ 6, ∾ )

What interval notation does the number line graph represent?

• [∞, -5)

• (∞, -5)

• [-5, ∞)

• (-5, ∞)

Solve

2(x - 3) + 5x ≤ 9x - 14

• x ≥ -4

• x ≤ -4

• x ≤ 4

• x ≥ 4

Given:

x ≤ -10

Is -25 a solution?

• Yes, it is a solution.

• No, it is not a solution.

Write the following in interval notation

x < 8

• [8, ∞)

• (8, -∞)

• (-∞, 8]

• (-∞, 8)

Write the following in interval notation
x ≥ 100

• (0, 100]  

• (∞, 100]

• [100, ∞)

• (∞, 100)