Question

How do you solve the inequality `2x> -6` and `x - 4<=3` ?

Answer 1

`x>` `-3`, `x<=7`

Explanation:

`2x>` `-6`
`2xcolor(red)(-:2)>` `-6color(red)(-:2)`
`x>` `-3`

`x-4<=3`
`x-4` `color(red)(+4)<=3` `color(red)(+4)`
`x<=7`

Since you do not have to multiply or divide by a negative number in both questions, the "`>`" and "`<=`" signs are not flipped. Instead, they remain the same.