Question

Lon
What is the solution t
5/6x -1/3 > 1 1/3

Answer 1

First of all, let's rewrite the mixed fraction

`1(1)/(3)=(3)/(3)+(1)/(3)=(4)/(3)`

Now, start with

`(5)/(6)x-(1)/(3)>(4)/(3)`

Add 1/3 to both sides:

`(5)/(6)x>(5)/(3)`

Multiply both sides by 6/5:

`x>(5)/(3)\cdot (6)/(5)=2`

So, the solution is x>2.

Answer 2

x > 2

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