Question

Find the range of values of x which satisfies

`-2 2/3 <= x + 1/3 < 3 1/3, x in R`

Graph these values of x on the number line.

Answer 1

`-2 2/3 <= x + 1/3 and x + 1/3 < 3  1/3`

`=> -8/3 <= x + 1/3 and x +1/3 < 10/3 `

`=> -8/3 - 1/3 <= x and x < 10/3 - 1/3`

`=> -9/3 <=  x and x < 9/3`

`=> -3 <= x and x < 3`

`∴ -3 <= x < 3`

The required graph of the solution set is