For any positive real number $x,$ if $| 2 x + 4 | = 6,$ then $x =$

- 1

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Solution

The correct option is B $1$
For any positive real number $x,$
$| 2 x + 4 | = 6$
Now, using
$| a + b | = | a | + | b | \forall a b \geq 0$
Now since $x > 0 \Rightarrow 2 x > 0$
$∴ | 2 x + 4 | = | 2 x | + 4 = 6 \Rightarrow 2 x = 2 \Rightarrow x = 1$

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