solve the inequality below for x.

\-3.2(2x - 1) \le 17.6\

$x \ge -2.25$
$x \le -2.25$
$x \ge 10.9$
$x \le 10.9$

Question

solve the inequality below for x.

\-3.2(2x - 1) \le 17.6\

$x \ge -2.25$
$x \le -2.25$
$x \ge 10.9$
$x \le 10.9$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Solving Inequalities" ], "new_concepts": [], "current_concepts": [ "Solving Inequalities", "Linear Inequalities" ] } ## Divide both sides by the negative coefficient $$ \begin{aligned} -3.2(2x - 1) &\le 17.6 \ 2x - 1 &\ge \frac{17.6}{-3.2} \ 2x - 1 &\ge -5.5 \end{aligned} $$ ## Isolate the variable term $$ \begin{aligned} 2x &\ge -5.5 + 1 \ 2x &\ge -4.5 \end{aligned} $$ ## Solve for x $$ \begin{aligned} x &\ge \frac{-4.5}{2} \ x &\ge -2.25 \end{aligned} $$

(A) $x \ge -2.25$

(B) $x \le -2.25$

(C) $x \ge 10.9$

(D) $x \le 10.9$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Solving Inequalities" ] }

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QUESTION IMAGE

Question

Explanation:

Divide both sides by the negative coefficient

Isolate the variable term

Solve for x

Answer: