Question

in which are all the solutions to this inequality
x >5 x - 8

A. { -1, 0, 1, 2 }

B. { 0, 1, 2, 3 }

C. { 3, 4, 5, 6 }

D. { -2, -1, 0 1 }

Answer 1

first, lets isolate the constants together

now let's start plugging in numbers from the set, { -1, 0, 1, 2 }, to see if the set is true for false
(x)-5(x)>-8
let x= -1
(-1)-5(-1)>-8
-1+5>-8
4>-8 [true]
let x = 0
(0)-5(0)>-8 [true]
let x = 1
(1)-5(1)>-8 [true]
let x =2
(2)-5(2)>-8 [false]
so this set of { -1, 0, 1, 2 } is not a solution set.

do this same method for the rest of the choices.