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For any negat...

Question

For any negative real number $x,$ if $| 2 x - 21 | = 33,$ then $x =$

-06.00

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-6.00

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-06

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

-06.0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

-6.0

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-6

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Solution

For any negative real number $x,$
$| 2 x - 21 | = 33$
Now, using
$| a - b | = | a | + | b | \forall a b \leq 0$
Now since $x < 0$
$∴ | 2 x - 21 | = | 2 x | + 21 = 33 \Rightarrow | 2 x | = 12 \Rightarrow 2 x = - 12 \Rightarrow x = - 6$

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