How do you solve the inequality 7x - 5x + 3 > 9?

Dec 7, 2015

$x > 4 \frac{1}{2}$

Explanation:

Given $7 x - 5 x + 3 > 9$

Simplifying the left side:
$\textcolor{w h i t e}{\text{XXX}} 2 x + 3 > 9$

Subtract $3$ from both sides
$\textcolor{w h i t e}{\text{XXX}} 2 x > 9$

Divide both sides by $2$
$\textcolor{w h i t e}{\text{XXX}} x > \frac{9}{2} \left(= 4 \frac{1}{2}\right)$

Remember that the following operations do not effect the validity or orientation of an inequality:

• adding or subtracting the same amount to both sides
• multiplying or dividing both sides by the same amount provided that amount is greater than 0