Question

What is the solution to 5 over 6 x minus one-third greater-than 1 and one-third?

x > 25 over 18
x < 25 over 18
x > 2
x < 2

Answer 1

The solution to the inequality is x > 2.

Explanation:

According to given statement;

The inequality is;

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

Solving the inequality;

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

Adding 1/3 on both sides

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

Multiplying both sides by
`(6)/(5)`

`(6)/(5)*(5)/(6)x>(5)/(3)*(6)/(5)\\x>2`

Therefore;

The solution to the inequality is x > 2.