what is the solution to $\frac{5}{6}x - \frac{1}{3}>1\frac{1}{3}$?\n$x>\frac{25}{18}$\n$x<\frac{25}{18}$\n$x…
what is the solution to $\frac{5}{6}x - \frac{1}{3}>1\frac{1}{3}$?\n$x>\frac{25}{18}$\n$x<\frac{25}{18}$\n$x > 2$\n$x < 2$
Answer
Answer:
C. $x > 2$
Explanation:
Step1: Convert mixed - number to improper fraction
$1\frac{1}{3}=\frac{4}{3}$ The inequality becomes $\frac{5}{6}x-\frac{1}{3}>\frac{4}{3}$
Step2: Add $\frac{1}{3}$ to both sides
$\frac{5}{6}x-\frac{1}{3}+\frac{1}{3}>\frac{4}{3}+\frac{1}{3}$ $\frac{5}{6}x>\frac{4 + 1}{3}$ $\frac{5}{6}x>\frac{5}{3}$
Step3: Multiply both sides by $\frac{6}{5}$
$\frac{6}{5}\times\frac{5}{6}x>\frac{5}{3}\times\frac{6}{5}$ $x > 2$