Get rid of the fraction by multiplying both sides of the equation by the L.C.M of the denominators. The L.C.M of 3 and 3 is 3 .
x−
1
3
≥
2
3
−x=3×x−3×
1
3
≥3×
2
3
−3×x
The denominators cancel out the ones multiplying. x−
1
3
≥
2
3
−x=3x−1≥2−3x Group the x at the left and the numbers at the right. When one is negative, it becomes positive at the other side and when positive, negative. x−
1
3
≥
2
3
−x=3x+3x≥2+1 x−
1
3
≥
2
3
−x=6x≥3 Divide both sides by 6 x−
1
3
≥
2
3
−x=x≥
3
6
Note: Since we are not dividing by a negative number, the inequality sign remains the same. x−