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

Question

asked Dec 25, 2021 162k views

1 Answer

Hardiksa · Answer 1 · 2021-12-30T09:25:59+0000

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.