Aball is thrown down from a balcony with a vertical velocity (in ft/s) given by
v(t)= –32t – 10. chose the inequality that represents the time for which the velocity of the ball will be between –90 and –58 ft/s.
–90 > –32t – 10 > –58
–90 < –32t – 10 < –58
–32t – 10 < –90 < –58

–90 < –32t – 10 < –58

Step-by-step explanation:

We want the velocity to be BETWEEN -90 and -58.

Whenever we need a quantity, let it be A, to be between two numbers, p and q (p is less than q), we can write it as:

p < A < q

Similarly, here we need the velocity, -32t-10 to be BETWEEN -90 and - 58 (with -90 being the smaller number). Thus we can write:

–90 < –32t – 10 < –58

This is the correct choice, 2nd choice.