Problema Solution
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.
Part B: Can the wind speed in this town be 20 km/h? Justify your answer by solving the inequalities in Part A.
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. Write and solve an inequality to find the range of wind speed in this town.
Answer provided by our tutors
If 2 times the wind speed is increased by 2, the wind speed is still less than 46 km/h:
2x + 2 < 46
Twice the wind speed minus 27 is greater than 11 km/h:
2x - 27 > 11
Part A: Create a compound inequality to represent the wind speed range.
2x + 2 < 46
x < 22
click here to see the step by step solution of the inequality:
2x - 27 > 11
x > 19
click here to see the step by step solution of the inequality:
the compound inequality to represent the wind speed range is:
19 < x and x < 22
Part B: Can the wind speed in this town be 20 km/h? Justify your answer by solving the inequalities in Part A.
yes the wind speed can be 20 km/h since 19 < 20 and 20 < 22
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. Write and solve an inequality to find the range of wind speed in this town.
23 - 4 < x < 23 + 4
19 < x < 27
the range of wind speed in this town is (19, 27).