### Inequalities - Word Problem Exercise 2 Q1

1. Let the unknown be x
52<x<73
73-53=20
20/7=estimate=2

1. The answer range is 2 minutes

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2. 52 < x < 73

So the answer is 2 minutes

3. Between 52 and 73 is 59 and 63 which takes 2 minutes as the speed the temperature rises is constantly 7˚ so the answer is 2 minutes.

4. It is suppose to be between 52 and 73 is 59 and 63 which takes 2 minutes as the speed the temperature rises 7˚ constantly so the answer is 2 minutes.

2. 52<24+7t<73
52-24<24+7t-24<73-24
28/7<7t/7<49/7
4<t<7

1. x is 5 or 6

2. let t be the time range which the temperature of water in the boiler

3. difference between 52 degrees and 24 degrees is 28 degrees. it would take 4 mins to gain that. it would take another 3 mins to gain till 73 degrees. so the time range is 4<t<7

4. difference between 52 degrees and 24 degrees is 28 degrees. it would take 4 mins to gain that. it would take another 3 mins to gain till 73 degrees. so the time range is 4<t<7

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5. 52<59<66<73

2mins

6. 52<24+7t<73
52-24<24+7t-24<73-24
28/7<7t/7<49/7
4<t<7

Thus, t is 5 or 6

7. Let y be the Temperature range.
Temperature range: 52ºC > y < 73ºC
Largest Temp Range: 53ºC - 72ºC
Temp Increase Rate: 7ºC per min

Solution:
(72 - 53)ºC = 19ºC
19ºC ÷ 7ºC per min = 2/5/7 mins

1. Oops!
Temperature range: 52ºC > y > 73ºC

8. Let time taken be t minutes.

52ºc-24ºc=28ºc
28ºc÷7ºc=4 min
73ºc-24ºc=49ºc
49ºc÷7ºc=7 min

4 min < t min < 7 min

Possible answers for t are 5 mins or 6 mins.

Time range: 2 minutes.

Therefore the time range is 2 minutes.

9. 52°C<73°C
Multiples of 7 which are in between 52 and 73 (59,66)
Let t be the time range
t x 7 = 59 and 66
t = 5 - 6

The time range is from 5 to 6 minutes

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11. 52°C < 72°C
t x 7 = 59/ 66
t = 5-6 minutes

12. First subtract 52-24=28
The difference then must be divide by the time 28/7=4
After that you must add 1 as if you dont then it will remain 52 and thus not answering the question 4+1=5
So the time range would be 5<t7