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Solve the following inequality fort:

Solve the following inequality fort:-example-1
User YGL
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1 Answer

7 votes

Answer:


$t<1$

it seems that the answer didn't match the alternatives. But t < 1 is true.

If t > 1:

So, considering t = 2


$5-4(2)>(3-2)/(2) $


$5-8>(1)/(2) $


$-3>(1)/(2) $

This is not true.

Explanation:

Given inequality:


$5-4t>(3-t)/(2) $


$2(5-4t)>(3-t)/(2) \cdot 2$


$10-8t>3-t$


$-8t+t>3-10$


$-7t>-7$

Dividing both sides by -7 will led to the flip of the inequality symbol.


$t<1$

Considering t = -1


$5-4(-1)>(3-(-1))/(2) $


$5+4>(3+1)/(2) $


$9>(4)/(2) $


$9>2 $

That's right

User Krassowski
by
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