Joshua wants to complete the first mile of a 5-mile run in 10 minutes or less running at a steady pace. The inequality 5 - p 6 ≤ 4 can be used to find p, the pace, in miles per hour, he can run to reach his goal. Solve the inequality.

Question

Mathematics

Leonidas Mcneil

30 October, 04:18

Joshua wants to complete the first mile of a 5-mile run in 10 minutes or less running at a steady pace. The inequality 5 - p 6 ≤ 4 can be used to find p, the pace, in miles per hour, he can run to reach his goal. Solve the inequality.

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Answers (1)

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Eleanor Keller · Answer 1

The given inequality is

5 - p⁶ ≤ 4

Solving the inequality to find for the possible values of p

-p ⁶ ≤ 4 - 5

-p⁶ ≤ - 9

p⁶ ≥ 9

p ≥ 1.44

The speed of Joshua is at least 1.44 miles per hour