Question

How do you solve `x>=(x+6)/5` and graph the solution on a number line?

Answer 1

`x>=3/2`

Explanation:

`x>=(x+6)/5`

Multiply both sides by 5.
`5*x>=((x+6)/5)*5`
`5x>=x+6`

Subtract x from both sides.
`5x-x>=x+6-x`
`4x>=6`

Divide both sides by 4.
`(4x)/4>=6/4`
`x>=3/2`

To graph on a number line, used a closed circle because of the `>=` inequality. An open circle would be used if it were only `>` The arrow points right to indicate greater than `3/2`.