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

Solve the inequality

    Q1.    2\leq 3x-4\leq5

Answers (1)

best_answer

Given :  2\leq 3x-4\leq5

 

2\leq 3x-4\leq5

\Rightarrow\, \, 2+4\leq 3x\leq 5+4

\Rightarrow\, \, 6\leq 3x\leq 9

\Rightarrow\, \, \frac{6}{3}\leq x\leq \frac{9}{3}

\Rightarrow\, \, 2\leq x\leq 3

Thus, all the real numbers greater than equal to 2 and less than equal to 3 are solutions to this inequality.

Solution set is \left \[2,3 \right \]

 

Posted by

seema garhwal

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