Question #ab3de

1 Answer
Sep 20, 2017

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}