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. (3 points)

Part B: Can the temperature in this town be 5°C? Justify your answer by solving the inequalities in Part A. (3 points)

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 i

Answer 1

1. 3x + 2 < 14 --> 3x < 12 --> x < 4
2x - 7 > 11--> 2x > 18 --> x > 9
2. No, since 5 is not inside the solution set.

Answer 2

The text of Question C is incomplete