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netineya [11]
3 years ago
14

Solve the following inequality fort:

Mathematics
1 answer:
Vilka [71]3 years ago
7 0

Answer:

$t

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)>\frac{3-2}{2} $

$5-8>\frac{1}{2} $

$-3>\frac{1}{2} $

This is not true.

Step-by-step explanation:

Given inequality:

$5-4t>\frac{3-t}{2} $

$2(5-4t)>\frac{3-t}{2} \cdot 2$

$10-8t>3-t$

$-8t+t>3-10$

$-7t>-7$

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

$t

Considering t = -1

$5-4(-1)>\frac{3-(-1)}{2} $

$5+4>\frac{3+1}{2} $

$9>\frac{4}{2} $

$9>2 $

That's right

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Step-by-step explanation:

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