Multi-Step Inequalities and Interval Notation

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, ∾ )

Write the phrase as an expression.
twice a number x plus 8 is greater than 12

• 2 + 8x < 12

• 2x + 8 > 12

• 2(x+8) ≠ 12

• 8(2+x) 

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)

Choose all that are not solutions of the inequality n>8

• 12

• 4

• 8

• 9