SOLVING ONE-VARIABLE INEQUALITIES

What value of x is in the solution set of 3(x - 4) ≥ 5x + 2?

-10

What value of x is in the solution set of -5x - 15 > 10 + 20x?

-2

What value of x is in the solution set of 8x - 6 > 12 + 2x?

5

Which is a correct first step in solving 5 - 2x < 8x - 3?

5 < 10x - 3

Which is a correct first step in solving the inequality -4(2x - 1) > 5 - 3x?

Distribute -4 to get -8x + 4 > 5 - 3x.

Which number line represents the solution set for the inequality -1/2x ≥ 4?

Number line 2

Solve the inequality. 2(4+2x)≥5x+5

x≤3

Which are correct representations of the inequality -3(2x - 5) < 5(2 - x)? Select two options.

-6x + 15 < 10 - 5x and number line 1 (or, answers C and D)

What value of x is in the solution set of 4x - 12 ≤ 16 + 8x?

-7

Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?

Number line 2