Question

write an inequality to represent the following: 1. I ran more than 15 miles in total last week 2. The fastest i ran was 12 miles per hour

Answer 1

Choose variables and write the inequalities:

1) Let M = total miles I ran last week.
M > 15.

(Or, if m1,...,m7 are miles each day: m1 + m2 + ... + m7 > 15.)

2) Let v = my running speed (mph). If the fastest I ran was 12 mph, then the speeds never exceeded 12:
v ≤ 12.

(Or, if s1,...,s7 are daily top speeds: max{s1,...,s7} = 12, equivalently each si ≤ 12 and some sj = 12.)