Question

How do you solve `- 8w+7>5`?

Answer 1

`w<1/4`

Explanation:

Given `-8w+7>5`

Method 1
Subtract 5 from both sides
`color(white)("XXXX")` `-8w+2 > 0`
Add `(-8w)` to both sides
`color(white)("XXXX")` `2>8w`
Divide both sides by 8
`color(white)("XXXX")` `1/4>w`
If you like to see your variables on the left you can invert this as
`color(white)("XXXX")` `w<1/4`

Method 2
Subtract 7 from both sides
`color(white)("XXXX")` `-8w > -2`
Divide by `(-8)` but remember multiplication or division by a negative inverts the orientation of an inequality.
`color(white)("XXXX")` `w<1/4`