Question

Solve forxx and graph the solution on the number line below.1>1>x55x

Answer 1

The Solution:

Given:

`1>(x)/(5)`

Required:

Solve the given inequality and then represent the result in a number line.

To solve the inequality, multiply both sides by 5 because 5 is the LCM of the denominators on both sides.

`5(1)>5((x)/(5))`
`5>x`

Interchange both sides and then reverse the inequality symbol.

`x<5`

The inequality notation of the solution is:

`x<5`

The number line representation is: