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Standard XII

Mathematics

Inequalities Involving Modulus Function

Mark the corr...

Question

Mark the correct alternative in each of the following:
The inequality representing the following graph is
(a) $|x|$ $<$ 3
(b) $|x|$ $\leq$ 3
(c) $|x|$ $>$ 3
(d) $|x|$ $\geq$ 3

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Solution

As according to the graph,

$x lies between - 3 and 3 \Rightarrow - 3 \leq x \leq 3 \Rightarrow |x| \leq 3$

Hence, the correct option is (b).

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Mark the correct alternative in each of the following: The inequality representing the following graph is (a) x<3 (b) x≤3 (c) x>3 (d) x≥3

As according to the graph, x lies between -3 and 3⇒-3≤x≤3⇒x≤3 Hence, the correct option is (b).

Mark the correct alternative in each of the following:
The inequality representing the following graph is
(a) $|x|$ $<$ 3
(b) $|x|$ $\leq$ 3
(c) $|x|$ $>$ 3
(d) $|x|$ $\geq$ 3

As according to the graph,

$x lies between - 3 and 3 \Rightarrow - 3 \leq x \leq 3 \Rightarrow |x| \leq 3$

Hence, the correct option is (b).