2.7 module 2 post-test

solve the inequality:

(x - 4 \le 1\\) or (\frac{x}{3} \ge 2)

\$x \le 3\$ or \$x \ge 6\$
\$x \le 5\$ or \$x > 6\$
\$3 \le x \le 6\$
\$3 < x < 6\$

Question

2.7 module 2 post-test

solve the inequality:

(x - 4 \le 1\) or (\frac{x}{3} \ge 2)

$x \le 3$ or $x \ge 6$
$x \le 5$ or $x > 6$
$3 \le x \le 6$
$3 < x < 6$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": true, "concepts_used": [ "Compound Inequalities", "Union of Sets" ], "new_concepts": [], "current_concepts": [ "Compound Inequalities", "Union of Sets", "Solving Multi-Step Equations" ] } ## Solve the first inequality Using the *Compound Inequalities* knowledge point $$ \begin{aligned} x - 4 &\le 1 \ x &\le 5 \end{aligned} $$ ## Solve the second inequality Using the *Compound Inequalities* knowledge point $$ \begin{aligned} \frac{x}{3} &\ge 2 \ x &\ge 6 \end{aligned} $$ ## Combine the solution sets Using the *Union of Sets* knowledge point $$ x \le 5 \text{ or } x \ge 6 $$

(A) $x \le 3 \text{ or } x \ge 6$

(B) $x \le 5 \text{ or } x \ge 6$

(C) $3 \le x \le 6$

(D) $3 < x < 6$

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QUESTION IMAGE

Question

Explanation:

Solve the first inequality

Solve the second inequality

Combine the solution sets

Answer: