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  • Solve the inequality - 12< 4 - 3x/-5 less than or equal to 2

Solve the inequality

    Q5.    -12<4-\frac{3x}{-5} \leq 2

Answers (1)

best_answer

Given the inequality

  -12<4-\frac{3x}{-5} \leq 2

 

-12<4-\frac{3x}{-5} \leq 2

\Rightarrow\, \, -12-4< -\frac{3x}{-5}\leq 2-4

\Rightarrow\, \, -16< -\frac{3x}{-5}\leq -2

\Rightarrow\, \, -16< \frac{3x}{5}\leq -2

\Rightarrow\, \, -16\times 5< 3x\leq -2\times 5

\Rightarrow\, \, -80< 3x\leq -10

\Rightarrow\, \, \frac{-80}{3}< 3x\leq \frac{-10}{3}

Solution set is (\frac{-80}{3}, \frac{-10}{3}]

Posted by

seema garhwal

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