Write then solve the inequality.

1. nine more than half the number n is no more than -8. Find n.

2. Judith drove h hours at a rate of 55 mi/hr. She did not reach her goal of driving 385 miles for a day. How long did she drive?

2 answers

1.) 9 more than 1/2 the number no more than -8.

n = number
n + 9 = nine more
1/2 n = half the number
no more than -8 (means) <= -8

1/2 n + 9 <= -8
1/2 n <= -17
Multiply both sides by 2
n <= -34

number is 34 (less than or equal -34)

2.) h hours at rate of 55 mi/hr

D = RT (Distance = Rate x Time)
h = hours
55h = h hours at 55 mph
Did not reach goal of 385 (means) < 385

55h < 385
h < 7

Drove 7 hours (less than 7 hours)
jenny drove for 5 hours at 55 mph. how far did she drive?