(A) Given the inequality: $-15 < \frac{3(x-2)}{5} \leq 0$ Multiply all parts by $5$: $-75 < 3(x-2) \leq 0$ Divide all parts by $3$: $-25 < x-2 \leq 0$

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(A) Given the inequality: $-15 Multiply all parts by $5$: $-75 Divide all parts by $3$: $-25 Add $2$ to all parts: $-25 + 2 $-23 Thus,the solution set is $(-23, 2]$.

Class 11 Mathematics Linear Inequalities Basic of Linear Inequalities

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Solve the inequality $-15 < \frac{3(x-2)}{5} \leq 0$.

A
$(-23, 2]$
B
$(-23, 5]$
C
$(-25, 2]$
D
$(-23, 0]$

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Solve the inequality $-15 < \frac{3(x-2)}{5} \leq 0$.

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