Question

Solve the following inequation and represent the solution on the number line in following case:

`(4-5x)/3 < 2-x`

Answer 1

`(4-5x)/3 < 2-x`

Eliminate the denominator by multiplying both sides by 3:

4 − 5x < 3(2 − x)

4 − 5x < 6 − 3x

Bring all terms to one side

−5x + 3x < 6 − 4 ⇒ −2x < 2

Now divide both sides by −2

x > −1