what is the solution set for this inequality? (5x - 4

Question

what is the solution set for this inequality? (5x - 4 < 11 + 8x) a.) (x < 3) b.) (x < -5) c.) (x > 3) d.) (x > -5)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [], "new_concepts": [ "Linear Inequalities", "Inequality Sign Reversal" ], "current_concepts": [ "Linear Inequalities", "Inequality Sign Reversal", "Interval Notation", "Number Line Representation" ] } ## Isolate the variable terms $$ \begin{aligned} 5x - 4 &< 11 + 8x \ 5x - 8x - 4 &< 11 \ -3x - 4 &< 11 \end{aligned} $$ ## Isolate the constant terms $$ \begin{aligned} -3x &< 11 + 4 \ -3x &< 15 \end{aligned} $$ ## Divide by the negative coefficient $$ \begin{aligned} x &> \frac{15}{-3} \ x &> -5 \end{aligned} $$

a.) $x < 3$

b.) $x < -5$

c.) $x > 3$

d.) $x > -5$

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QUESTION IMAGE

Question

Explanation:

Isolate the variable terms

Isolate the constant terms

Divide by the negative coefficient

Answer: