SOLUTION: The driving school instructor has asked Lina to stay within 2 miles of the posted speed limit.The current road has a speed limit of 45mi/h.Write a compound inequality to show Lina'

Algebra ->  Inequalities -> SOLUTION: The driving school instructor has asked Lina to stay within 2 miles of the posted speed limit.The current road has a speed limit of 45mi/h.Write a compound inequality to show Lina'      Log On


   

Question 349498: The driving school instructor has asked Lina to stay within 2 miles of the posted speed limit.The current road has a speed limit of 45mi/h.Write a compound inequality to show Lina's acceptable speeds s.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
She can either drive 2 mph slower than the speed limit (ie at 45-2=43 mph) or 2 mph faster than the speed limit (ie at 45+2=47 mph)


So if 's' is her speed limit, then she must travel greater than or equal to 43 mph, which means that s%3E=43. In addition, she must travel at most 47 mph which also means that s%3C=47


Combine the two inequalities to get 43%3C=s%3C=47


So the compound inequality is 43%3C=s%3C=47


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Jim