Question

Clara is growing her hair out and wants it to be no longer than 15 cm but more than 11 cm. Her hair is 7 cm right now and grows at a rate of 0.25 cm per week. The compound inequality 11 < 7 + 0.25t ≤ 15 models the scenario. How long will it take Clara to grow out her hair to the desired length?

Answer 1

16,32

Explanation:

Answer 2

For this case we have the following compound inequality:
11 <7 + 0.25t ≤ 15
We must solve this inequality for time.
We have then:

For 11 <7 + 0.25t:
11 <7 + 0.25t
11 - 7 <0.25t
4 <0.25t
4 / 0.25 <t
16 <t

For 7 + 0.25t ≤ 15:
7 + 0.25t ≤ 15
0.25t ≤ 15 - 7
0.25t ≤ 8
t ≤ 8 / 0.25
t ≤ 32

Therefore, the answer is:
16 <t ≤ 32

Answer:
16 <t ≤ 32
Clara has the desired length in more than 16 weeks, but up to 32 weeks.