Answer:
x ≤ [tex]\frac{19}{4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x-1}{3}[/tex] - 2 ≤ [tex]\frac{5-2x}{6}[/tex]
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 ≤ [tex]\frac{19}{4}[/tex]
