Question

In a certain town, the wind speed, x, in km/h on a certain day is described by two statements:

If 2 times the wind speed is increased by 2, the wind speed is still less than 46 km/h.
Twice the wind speed minus 27 is greater than 11 km/h.



Part A: Create a compound inequality to represent the wind speed range. (3 points)

Part B: Can the wind speed in this town be 20 km/h? Justify your answer by solving the inequalities in Part A. (3 points)

Part C: The average wind speed in another town is 23 km/h but the actual wind speed is within 4 km/h of the average.

Answer 1

@ganeshie8

Answer 2

I ONLY NEED PART C

Answer 3

As given in problem statement , let speed of wind we s,
so 2s+2<46
or, 2s<44
or, s<22
and 2s-27>11
or,2s>38
or, s>19
so 19<s<22

Part C:
Average wind speed=23km/h
Actual speed of wind in range of 4 km/h i.e +/-4 km/h
so min will be 23-4=19 km/h
and max will be 23+4=27 km/h
i.e. 19<s<27