Solve the inequality.

Answer:
C. x ≥ 5/18
Step-by-step explanation:
1/3+x+2/9≥5/6
x+3/9+2/9≥5/6
x ≥ 5/6 - 5/9
x ≥ 3*5/3*6 - 2*5/2*9
x ≥ (15-10)/18
x ≥ 5/18
Answer:
C
Step-by-step explanation:
Given
[tex]\frac{1}{3}[/tex] + x + [tex]\frac{2}{9}[/tex] ≥ [tex]\frac{5}{6}[/tex]
Multiply through by 18 ( the LCM of 3, 9 and 6 ) to clear the fractions
6 + 18x + 4 ≥ 15 , that is
10 + 18x ≥ 15 ( subtract 10 from both sides )
18x ≥ 5 ( divide both sides by 18 )
x ≥ [tex]\frac{5}{18}[/tex] → C