Question

In a certain town, the inches of rainfall, x, on a certain day is described by two statements:
If 3 times the rainfall is increased by 2, the rainfall is still less than 26 inches.
5 plus twice the rainfall is greater than 11 inches.
•Rest of problem in comments. •

Answer 1

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

Part B: Can the rainfall in this town be 4 inches? Justify your answer by solving the inequalities in Part A. (3 points)

Part C: The average rainfall in another town is 5 inches, but the actual rainfall is within 4 inches of the average. Write and solve an inequality to find the range of rainfall height in this town. (4 points)

Answer 2

A. 3r + 2 < 26 and 2r + 5 > 11

B. can the rainfall be 4....lets see
3(4) + 2 < 26
12 + 2 < 26
14 < 26 (correct)

2(4) + 5 > 11
8 + 5 > 11
13 > 11 (correct)

so 4 CAN be a solution

C. within 4 inches of average.....average is 5
-4 + 5 = 1 and 4 + 5 = 9
the range is 8
not sure how to write the inequality...sorry

Answer 3

Thanks!!! @kelliegirl33