Given:
The inequality is:
[tex]y+2>\dfrac{1}{3}(6x+9)[/tex]
To find:
The inequality after isolating the y-term.
Solution:
We have,
[tex]y+2>\dfrac{1}{3}(6x+9)[/tex]
On simplification, we get
[tex]y+2>\dfrac{1}{3}(6x)+\dfrac{1}{3}(9)[/tex]
[tex]y+2>2x+3[/tex]
Subtracting 2 from both sides of the above inequality, we get
[tex]y+2-2>2x+3-2[/tex]
[tex]y>2x+1[/tex]
Therefore, the required inequality is [tex]y>2x+1[/tex].
