solving one-variable inequalities

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What value of x is in the solution set of 2(3x - 1) ≥ 4x - 6?

-1

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

Step 1: Subtract 3 from both sides of the inequality. Step 2: __________ Step 3: Divide both sides of the inequality by the coefficient of x. What is the missing step in solving the inequality 5 - 8x < 2x + 3?

Add 8x to both sides of the inequality.

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?

line 2

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

line 2

Which number line represents the solution set for the inequality 2x - 6 ≥ 6(x - 2) + 8?

line 3

Which are correct representations of the inequality 6x ≥ 3 + 4(2x - 1)? Select three options.

options 1, 2, & 3


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