Question

Last week, Jason ran 26.1 miles. He wants to run further this week. He plans to run 2.4 miles to the park, four times around the park, and 2.4 miles back from the park. To represent that inequality, he wrote: 2.4 + 4p + 2.4 ___ 26.1 Which inequality symbol should he use? Why?

Answer 1

He should use the greater than symbol, >. He would not beat his distance if he only ran 26.1 miles, so the greater than or equal to symbol would not be correct.

Explanation:

Answer 2

Greater than (>)

Explanation:

Last week, Jason ran 26.1 miles.

He wants to run further this week.

Distance Run this week

• 2.4 miles to the park,
• Four times around the park= 4p (if distance around the park is p miles)
• 2.4 miles back from the park.

Total Distance this week =2.4+4p+2.4

Since his distance this week is going to be greater than the total distance covered last week (26.1 miles), we then have:

Total Distance covered this week > Total Distance Last week

`2.4+4p+2.4>26.1`

Jason should use the greater than inequality sign.