SOLUTION: 5/(2t-1) less than or equal to 2 {{{5/(2t-1) <= 2}}}

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Question 708140: 5/(2t-1) less than or equal to 2
5%2F%282t-1%29+%3C=+2
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
If you were to solve the equality for t, you would come to a critical point at x=7/4. If the denominator is examined for equality to 0, you find a critical point at x=1/2.

5/(2t-1)=2
5=2(2t-1)
5=4t-2
t=7/4

Check the truth or falseness of the given inequality for the intervals,
(-infinity,(1/2)), ((1/2),7/4), [(7/4),+infinity).

Picking any value for t in each interval,
I found First one is good; second one fails; third one is good.