Question

Solve: `-2 2/3 <= x + 1/3 < 3 1/3`, x ∈ R and represent the solution on the number line.

Answer 1

compound inequality:

`-2 2/3 <= x + 1/3 < 3 1/3,` x ∈ R

Convert mixed numbers to improper fractions

`-2 2/3 = -8/3, 3 1/3 = 10/3`

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

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

`-9/3 <= x < 9/3`

−3 ≤ x < 3