Question

1. select all the sets of numbers that are possible values for x in the inequality, x > -2

{-1, 0, 5}
{-2, 0, 2}
{2, 4, 6}
{-6, -4, -2}

Explanation:

Step1: Check set 1 against $x > -2$

All elements $\{-1, 0, 5\}$ are greater than $-2$.

Step2: Check set 2 against $x > -2$

Element $-2$ is not greater than $-2$, so invalid.

Step3: Check set 3 against $x > -2$

All elements $\{2, 4, 6\}$ are greater than $-2$.

Step4: Check set 4 against $x > -2$

Elements $-6, -4, -2$ are not greater than $-2$, so invalid.

Answer:

$\{-1, 0, 5\}$, $\{2, 4, 6\}$