First of all, let's rewrite the mixed fraction
[tex]1\dfrac{1}{3}=\dfrac{3}{3}+\dfrac{1}{3}=\dfrac{4}{3}[/tex]
Now, start with
[tex]\dfrac{5}{6}x-\dfrac{1}{3}>\dfrac{4}{3}[/tex]
Add 1/3 to both sides:
[tex]\dfrac{5}{6}x>\dfrac{5}{3}[/tex]
Multiply both sides by 6/5:
[tex]x>\dfrac{5}{3}\cdot \dfrac{6}{5}=2[/tex]
So, the solution is x>2.
Answer:
x > 2
Step-by-step explanation:
The LCD of 5/6x -1/3 > 1 1/3 is 6. Multiply all 3 terms by 6, obtaining:
5x - 2 > 8
Consolidating the constants on the right side, we get:
5x > 10.
Finally, we solve for x by div. both sides by 5:
x > 2
