Question

`((x - 1) / 3 ) - 2 \leqslant ((5 - 2x) / 6)`
​

Answer 1

x ≤
`(19)/(4)`

Explanation:

Given

`(x-1)/(3)` - 2 ≤
`(5-2x)/(6)`

Multiply through by 6 to clear the fractions

2(x - 1) - 12 ≤ 5 - 2x ← distribute and simplify left side

2x - 2 - 12 ≤ 5 - 2x

2x - 14 ≤ 5 - 2x ( add 2x to both sides )

4x - 14 ≤ 5 ( add 14 to both sides )

4x ≤ 19 ( divide both sides by 4 )

x ≤
`(19)/(4)`