Solve the inequality -3 leq 4 - frac{7x}{2} l | vedclass

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(A) Given inequality: $-3 \leq 4 - \frac{7x}{2} \leq 18$Subtract $4$ from all parts:$-3 - 4 \leq -\frac{7x}{2} \leq 18 - 4$$-7 \leq -\frac{7x}{2} \leq

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$[-4, 2]$

Vedclass · Answer

(A) Given inequality: $-3 \leq 4 - \frac{7x}{2} \leq 18$Subtract $4$ from all parts:$-3 - 4 \leq -\frac{7x}{2} \leq 18 - 4$$-7 \leq -\frac{7x}{2} \leq 14$Multiply by $-1$ and reverse the inequality signs:$7 \geq \frac{7x}{2} \geq -14$Divide by $7$:$1 \geq \frac{x}{2} \geq -2$Multiply by $2$:$2 \geq x \geq -4$Thus,the solution set is $[-4, 2]$.

Solve the inequality $-3 \leq 4 - \frac{7x}{2} \leq 18$.

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