Respuesta :
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]
