Question

How do you solve `9-g<4`?

Answer 1

You may add or subtract equally on both sides.

Explanation:

In this case we subtract 9:
`->-g<-5`

We now want to get rid of the `-`-sign, which we can do by multiplying both sides by `-1`
But: when multiplying (both sides) by a negative number you have to reverse the sign of the inequality.

`->g>5`

Check your answer, and you can see it's OK.

Answer 2

`g > 5`

Explanation:

Method 1
Given
`color(white)("XXXX")` `9-g < 4`
Add `g` to both sides
`color(white)("XXXX")` `9 < 4+g`
Subtract 4 from both sides
`color(white)("XXXX")` `5 < g`
`color(white)("XXXX")` `color(white)("XXXX")`which can be written as `g > 5`

Method 2
Given
`color(white)("XXXX")` `9-g < 4`
Subteact `9` from both sides
`color(white)("XXXX")` `-g < -5`
Multiply both sides by `(-1)` [but remember multiplication or division by a negative number requires that the orientation of the inequality be reversed]
`color(white)("XXXX")` `g > 5`