Question

In a certain town the temperature, x in degrees Celsius on a certain day is described by two statements:


If 3 times the temperature is increased by 2, the temperature is still less than 14°C.
Twice the temperature minus 7 is greater than 11°C.
Part A: Create a compound inequality to represent the temperature range.

Part B: Can the temperature in this town be 5°C? Justify your answer by solving the inequalities in Part A.

Part C: The average temperature in another town is 3°C but the actual temperature is within 4°C of the average. Write and solve an inequality to find the range

Answer 1

Part C: The average temperature in another town is 3°C but the actual temperature is within 4°C of the average. Write and solve an inequality to find the range of temperature in this town. (4 points)

Answer 2

Before the exercise and after the statements, we have two inequalities
3x+2<14 and 2x-7>11
Then, you make x as subject of formula for both inequalities, getting, respectively:
3x<14-2. And. 2x>11+7
3x<12. 2x>18
x<12/3. x>18/2
x<4. x>9

Next, you put x in the middle of the two numbers to specify the range. Don not forget that x<4 is not the same as 4<x,but yes 4>x.
Therefore you so was solution : 4>x>9
Right?

Answer 3

That was part A.

Answer 4

As you can see, your temperatures can only be below 4 or a above 9, making the answer part B as 'no'

Answer 5

Stil there?

Answer 6

@hostlos can you help me with part C?