if one-third of a number, x, is greater than five less than twice the number, which of the following is true?

\$x < 3\$
\$x > -3\$
\$x > -\frac{3}{5}\$
\$x < \frac{3}{5}\$

Question

if one-third of a number, x, is greater than five less than twice the number, which of the following is true? $x < 3$ $x > -3$ $x > -\frac{3}{5}$ $x < \frac{3}{5}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Translating Inequalities", "Solving Linear Inequalities" ], "new_concepts": [], "current_concepts": [ "Translating Inequalities", "Solving Linear Inequalities" ] } ## Translate the verbal statement into an algebraic inequality $$ \frac{1}{3}x > 2x - 5 $$ ## Solve the inequality for x $$ \begin{aligned} 5 &> 2x - \frac{1}{3}x \ 5 &> \frac{5}{3}x \ 3 &> x \ x &< 3 \end{aligned} $$

(A) $x < 3$

(B) $x > -3$

(C) $x > -\frac{3}{5}$

(D) $x < \frac{3}{5}$

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Translate the verbal statement into an algebraic inequality

Solve the inequality for x

Answer: