How do you solve the inequality 5(4y-5) >75?

Sep 8, 2015

$y > 5$

Explanation:

$5 \left(4 y - 5\right) > 75$

$4 y - 5 > 15$

$4 y > 20 \implies y > 5$

Alternatively, you can

• Expand the bracket

$20 y - 25 > 75$

• Add $25$ to both sides of the inequality

$20 y > 100$

• Divide both sides by $20$

$\frac{\cancel{20} y}{\cancel{20}} > \frac{100}{20}$

$y > 5$