Question

Which represents the solution set of inequality 5x-9 <21

Answer 1

5x - 9 < 21
5x < 21 + 9
5x < 30
x < 30/5
x < 6...so x is anything less then 6 (but do not count 6)

Answer 2

`x<6`

All real numbers less than
`6`

Explanation:

we have

`5x-9<21`

Adds
`9` both sides

`5x-9+9<21+9`

`5x<30`

Divide by
`5` both sides

`x<6`

the solution is the interval ---------> (-∞,6)

All real numbers less than
`6`

see the attached figure to better understand the problem