Question

1. the area of a triangle must be greater than $24\\ in^{2}$

$\frac{1}{2}bh > 24$
solve the inequality for $h$ if the base, $b$, is 8 inches.
(write the simplified algebraic inequality.)

Explanation:

Step1: Substitute b=8 into inequality

$\frac{1}{2}(8)h > 24$

Step2: Simplify left-hand side

$4h > 24$

Step3: Isolate h by dividing by 4

$h > \frac{24}{4}$

Step4: Compute the right-hand side

$h > 6$

Answer:

$h > 6$