Question

Find the value of x in the following expression:
$\text{5x - 1}>\text{x + 5}$

• A. $\text{x}>3$
• B. $\text{x}>-3$
• C. $\text{x}<3$
• D. $\text{x}<-3$

Answer 1

The correct option is A $\text{x}>3$

$\text{5x - 1}>\text{x + 5}$

Add 1 on both sides

$\Rightarrow \text{5x - 1 + 1}>\text{3x + 5 + 1}$

$\Rightarrow \text{5x}>\text{3x + 6}$

Subtracting $\text{3x}$ on both sides

$\Rightarrow \text{5x - 3x}>\text{3x + 6 - 3x}$

$\Rightarrow \text{2x}>\text{6}$

Dividing $2$ on both sides

$\Rightarrow \frac{\text{2x}}{\text{2}}>\frac{\text{6}}{\text{2}}$

$\Rightarrow \text{x}>3$