Solve the inequality 2 leq 3x - 4 leq 5. | vedclass

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Question

(A) Given the inequality: $2 \leq 3x - 4 \leq 5$. Add $4$ to all parts of the inequality: $2 + 4 \leq 3x - 4 + 4 \leq 5 + 4$ This simplifies to: $6 \l

Vedclass · Accepted Answer

$[2, 3]$

Vedclass · Answer

(A) Given the inequality: $2 \leq 3x - 4 \leq 5$. Add $4$ to all parts of the inequality: $2 + 4 \leq 3x - 4 + 4 \leq 5 + 4$ This simplifies to: $6 \leq 3x \leq 9$ Divide all parts by $3$: $\frac{6}{3} \leq \frac{3x}{3} \leq \frac{9}{3}$ Resulting in: $2 \leq x \leq 3$ Thus,the solution set for the given inequality is $[2, 3]$.

Solve the inequality $2 \leq 3x - 4 \leq 5$.

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