Question

Dean sot a goal to do more than 900 push-ups this month. So far, he has done 230 push-ups, and there are 20 more days remaining this month

Dean will do the same number of push-ups on each remaining day
Part A
Create an inequality that represents the number of push-up, p, Dean must do on each remaining day to reach his goal,

Answer 1

Explanation:

he has 900-230 = 670 more push-ups to do in the remaining 20 days.

so, he has to do every day

670/20 = 67/2 = 33.5 push-ups.

fractions of push-ups don't make sense.

we cannot say, he has to do at least 33 per day, because then he might come short in the end (if he sticks to the low limit) .

so, we have to say he has to do more than 33 or at least 34 push-ups per day to be sure he will at least reach his goal.

p > 33

or

p >= 34

both should be correct in the context of using only whole numbers.

bur in case of doubt I would pick p >= 34.