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  • Solve the inequality minus 15 < 3( x - 2)/5 less than or equal to 0

Solve the inequality

    Q4.    -15 < \frac{3(x-2)}{5} \leq 0

Answers (1)

best_answer

Given The inequality

 -15 < \frac{3(x-2)}{5} \leq 0

 

-15 < \frac{3(x-2)}{5} \leq 0

\Rightarrow\, \ -15\times 5< 3(x-2)\leq 0\times 5

\Rightarrow\, \ -75< 3(x-2)\leq 0

\Rightarrow\, \ \frac{-75}{3}< (x-2)\leq \frac{0}{3}

\Rightarrow\, \ -25< (x-2)\leq 0

\Rightarrow\, \ -25+2< x\leq 0+2

\Rightarrow\, \ -23< x\leq 2

The solution set is (-23,2]

Posted by

seema garhwal

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