Question

what value of \\(x\\) is in the solution set of the inequality \\(-2(3x + 2) > -8x + 6\\)?

-6
-5
5
6

Explanation:

Expand the left side of the inequality

Using the Distributive Property knowledge point

$$ -2(3x + 2) > -8x + 6 \implies -6x - 4 > -8x + 6 $$

Isolate the variable term

Using the Inequality Properties knowledge point

$$
LATEXBLOCK0
$$

Solve for x

Using the Solving Linear Inequalities knowledge point

$$
LATEXBLOCK1
$$

Identify the correct option

We need to find which of the given values is strictly greater than \(5\).

• For \(-6\): \(-6 > 5\) is false.
• For \(-5\): \(-5 > 5\) is false.
• For \(5\): \(5 > 5\) is false (the inequality is strict).
• For \(6\): \(6 > 5\) is true.

Answer:

• (A) \(-6\)
• (B) \(-5\)
• (C) \(5\)
• (D) \(6\) (Correct answer)