The solution of the inequality x 4 > x 2 +1 will be: - Vidyadip

MCQ

The solution of the inequality $\frac{\text{x}}{4}>\frac{\text{x}}{2}+1$ will be:

A
$\text{x}>4$
B
$\text{x}>-4$
C
$\text{x}<-4$
D
$-4 <\text{ x} >4$

✓

Answer

$\text{x}<-4$

Solution:

Given: $\frac{\text{x}}{4}>\frac{\text{x}}{2}+1$

$\Rightarrow\frac{\text{x}}{4}-\frac{\text{x}}{2}>1$

$\Rightarrow\frac{\text{x}-2\text{x}}{4}>1$

$\Rightarrow\frac{\text{-x}}{4}>1$

$\Rightarrow-\text{x}>4$

$\Rightarrow\text{x}<-4$

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