Question

Select the correct answer.

Which inequality represents all the solutions of -2(3x + 6) ≥ 4(x + 7)?
OA. X≥-4
OB. x≤-4
OC. x ≥ 8
OD.x≤8

Answer 1

OC

Explanation:

Move all terms with a variable to one side

- 7x - 2 <= 3x + 8

(- 3x - 3x)/((- 7x - 3x) - 2 <= 8)

Combine like terms (- 7x - 3x) - 2 <= 8 - 10x - 2 <= 8

Move terms without a variable to other side

- 10x - 2 <= 8 2 + 2

- 10x <= 10Isolate the variable from the coefficient

-10x ≤ 10

-10

-10

x ≥1

Flip the sign when dividing or multiplying by a Negative An inequality is solved when the variable, with a coefficient of 1, and a completely simplified result are on opposite sides of the inequality sign.

Move all terms with a variable to one side of the equal sign and combine any like terms, in order to solve for the variable like a normal equation. Then, isolate the variable from any other terms or coefficients.

The inequality sign will change from positive to negative, or vice versa, when you divide or multiply both sides of the inequality by a negative number.