Question

Solve this inequality

Answer 1

The inequality is solved to
`x < 4`

First, we have that the inequality is given as;

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

find the lowest common factor, we have;

`3x + 3(x -2)/6 < 5`

expand the bracket, we get;

`3x + 3x - 6/6 < 5`

collect the like terms, we have;

`6x - 6/6 < 5`

cross multiply the values, we get;

`6x - 6 < 5(6)`

expand the bracket

`6x - 6 < 30`

collect the like terms

`6x < 24`

divide the values

`x < 4`