Question

Question #ab3de

Answer 1

$$h\ge 15/4$$

Explanation:

you might be expecting to find one value for h, but that's not the case. Instead, we'll be solving for all values of h which satisfy this inequality.

$$\frac{2}{5}h\ge \frac{3}{2}$$

Multiply both sides by 5 (notice this does not change the inequality, but if we had multiplied by a negative number, we would need to reverse the inequality)

$$2h\ge \frac{15}{2}$$
Divide by 2
$$h\ge \frac{15}{4}$$

So we have found that any value of h greater than or equal to 15/4 will satisfy the original inequality

$$\frac{2}{5}h\ge \frac{3}{2}$$