Question

Solve the following inequality fort:

Answer 1

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