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Solution of the inequation -2(x+4)\leq x+5 is
 

Option: 1

\left(-\infty, \frac{13}{3}\right)


Option: 2

\left(\frac{-13}{3}, \infty\right)


Option: 3

\left[\frac{-13}{3}, \infty\right)


Option: 4

None of these


Answers (1)

best_answer

\begin{aligned} &-2(x+4) \leqslant x+5 \\ &\Rightarrow-2 x-8 \leqslant x+5 \\ &\Rightarrow-2 x-x \leqslant 5+8 \\ &\Rightarrow-3 x \leqslant 13 \end{aligned}

\Rightarrow \quad x \geqslant \frac{-13}{3}

(Sign of inequality changes as -3 (a negative number) is being cross- multiplied)

The correct option is (c)

 

Posted by

Rishabh

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