What is the solution to 5/6x-1/3 is greater than 1 1/3
Accepted Solution
A:
Answer:The solution of the expression is [tex]x>2[/tex] Step-by-step explanation:Given : Expression [tex]\dfrac{5}{6}x-\dfrac{1}{3}[/tex] is greater than [tex]1 \dfrac{1}{3}[/tex]To find : The solution of teh expression ?Solution : According to question,[tex]\dfrac{5}{6}x-\dfrac{1}{3}>1 \dfrac{1}{3}[/tex] [tex]\dfrac{5}{6}x-\dfrac{1}{3}>\dfrac{4}{3}[/tex] Adding [tex]\frac{1}{3}[/tex] both side,[tex]\dfrac{5}{6}x-\dfrac{1}{3}+\dfrac{1}{3}>\dfrac{4}{3}+\dfrac{1}{3}[/tex] [tex]\dfrac{5}{6}x>\dfrac{5}{3}[/tex] Multiply [tex]\frac{6}{5}[/tex] both side,[tex]\dfrac{5}{6}x\times \frac{6}{5}>\dfrac{5}{3}\times\frac{6}{5}[/tex] [tex]x>2[/tex] Therefore, The solution of the expression is [tex]x>2[/tex]