Question

Solve the equation and represent the solution set on the number line.
`-3 + x ≤ (8x)/(3)+ 2 ≤ (14)/(3)+ 2x`, where x ∈ I

Answer 1

`-3 + x ≤ (8x)/(3)+ 2 ≤ (14)/(3)+ 2x`, where x ∈ I,

`-3 + x ≤ (8x)/(3)+ 2,     (8x)/(3)+ 2 ≤ (14)/(3) + 2x`

or `(8x)/(3) - x ≥ - 3 -2,   (8x)/(3) - 2x ≤ (14)/(3) - 2`

or `(5x)/(3) ≥ -5,      (2x)/(3) ≤  (8)/(3)`

5x ≥ - 15,     2x ≤ 8
x  ≥ -3,         x  ≤ 4
Solution set (-3, -2, -1, 0, 1, 2, 3, 4}
Number line