Question

which of the following numbers is part of the solution set for the inequality -8 greater than -4t+5 a. 13/4 or b. 2 or c 6 or d. 4

Answer 1

The given inequality is

$-8 >-4t+5$

First we have to get rid of 5, and for that, we subtract 5 to both sides , that is

$-8-5 > -4t$

$-13 > -4t$

Dividing both sides by -4, to get rid of -4 from right side and on doing so, the sign of the inequality change .

$\frac{13}{4} <t \\ t > \frac{13}{4}$

Here t is greater than 13/4 ot 3.25, so the correct options are c and d .