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7nadin3 [17]
3 years ago
14

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?
Mathematics
1 answer:
sertanlavr [38]3 years ago
6 0
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.
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