+981 The square root of $h$ is greater than $\dfrac{10}{3}$ and less than $\dfrac{24}{5}$. How many integer values of $h$ satisfy this condition?
+128460 10/3 < √h < 24/5
So we have this 10/3 < √h square both sides
100/9 < h
And
√h < 24/5 square both sides
h = 576/25
So we have that
100/9 < h < 576/25
Note that 100/9 = 11+ 1/9
So
11 + 1/9 < h
And 576/25 = 23 + 1/25
So h < 2
So the number of integers that satisfy this = 23 - 12 + 1 = 12
