If |x + 3| 10, then: - Vidyadip

MCQ

If $|\text{x} + 3|\geq10,$ then:

A
$\text{x}\in(-13,7\big)$
B
$\text{x}\in(-13,7\big]$
C
$\text{x}\in(-\infty -13\big]\cup \big[7,\infty)$
D
$\text{x}\in\big[-\infty -13\big]\cup \big[7,\infty)$

✓

Answer

$\text{x}\in\big[-\infty -13\big]\cup \big[7,\infty)$

Solution:

$|\text{x} + 3|\geq10$

$\Rightarrow\text{x} + 3\leq-10$ or $\text{x}+3\geq10$

$\Rightarrow\text{x}\leq -13 $ or $\text{x}\geq7$

$\Rightarrow\text{x}\in\big[-\infty -13\big]\cup \big[7,\infty)$

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