Question

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

Answer 1

The solution to the inequality is x > 2.

Step-by-step explanation:

According to given statement;

The inequality is;

$\frac{5}{6}x-\frac{1}{3}>1\frac{1}{3}$

Solving the inequality;

$\frac{5}{6}x-\frac{1}{3}>\frac{4}{3}$

Adding 1/3 on both sides

$\frac{5}{6}x-\frac{1}{3}+\frac{1}{3}>\frac{4}{3}+\frac{1}{3}\\\\\frac{5}{6}x>\frac{4+1}{3}\\\\\frac{5}{6}x>\frac{5}{3}$

Multiplying both sides by $\frac{6}{5}$

$\frac{6}{5}*\frac{5}{6}x>\frac{5}{3}*\frac{6}{5}\\x>2$

Therefore;

The solution to the inequality is x > 2.