An algebra problem by shweta dalal
Algebra
Level
1
The range of that satisfies the inequality (2x-21)(2x-47)< 0 can be expressed as a<x<b. What is a+b?
The answer is 34.
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1 solution
Well.. the question is wrongly written (presented). The inequality should be (2x-21)(2x-47)<0 , and range of x can be expressed as a<x<b. This implies either 2x=21 or 2x=47. Hence x=21/2 or 47/2. So the sum of range of x, i.e. a+b=21/2+47/2=34.