The solution set of the inequation |x+2| 5 is: - Vidyadip

MCQ

The solution set of the inequation $|\text{x}+2|\leq5$ is:

A
(-7, 5)
B
[-7, 3]
C
[-5, 5]
D
(-7, 3)

✓

Answer

[-7, 3]

Solution:

$|\text{x}+2|\leq5$

$\Rightarrow-5\leq\text{x}+2\leq5$

$\Rightarrow-5-2\leq\text{x}+2-2\leq5-2$

$\Rightarrow-7\leq\text{x}\leq3$

$\Rightarrow\text{x}\in[-7,3]$

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