Answer:
x < 2
Step-by-step explanation:
We're going to solve this just like we would an equation, but with just one little twist. First, let's add 1/3 to both sides.
5/6x - 1/3 > 1 1/3
5/6x > 1 2/3
First, let's turn 1 2/3 into an improper fraction to make it easier to work with. Multiply the big number by the denominator, then add the numerator.
1 x 3 + 2 = 5
1 2/3 = 5/3
Now, multiply 5/3 by 2/2 to get 6 as the denominator. This works because 2/2 simplifies to 1 and therefore does not change the value of the fraction.
5 x 2 = 10
3 x 2 = 6
5/3 = 10/6
Now divide both sides by 5/6. Because they both have the same denominator, we can cancel the denominator out and just divide 5x/5 and 10/5.
5/6x > 10/6
5x > 10
x > 2
Wait! We don't have the correct answer just yet. Whenever you divide an inequality, you have to flip the inequality sign.
x < 2
Now <em>there's</em> our final answer.
