In a certain town, the wind speed, x, in km/h on a certain day is described by two statements:1.If 2 times the wind speed is increased by 2, the wind speed is still less than 46 km/h.
2.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.

Question

In a certain town, the wind speed, x, in km/h on a certain day is described by two statements:1.If 2 times the wind speed is increased by 2, the wind speed is still less than 46 km/h.
2.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.

anonymous · Answer

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.

I have Part A but I still need B and C!

anonymous · Answer

You are given two sentences, both of which have a bit in common, but they're not exactly the same.  Manipulate so they are in like terms (in this case, something is less than 2w, something else more than 2w.  To wit,$$2w+2<46 \implies 2w<44$$$$11 < 2w-27 \implies 38<2w$$Then$$38<2w<44 \implies 19<w<22$$

anonymous · Answer

Well, is 20 in the range we just solved for?  I would say so.

anonymous · Answer

Part C:  Within 4 km/hr of the average means$$19<w<27$$