Given:
[tex]7-2y>3y+13[/tex]
To find:
The whether the value [tex]y=-1[/tex] is a solution of the given inequality or not.
Solution:
We have,
[tex]7-2y>3y+13[/tex]
It can be rewritten as
[tex]-2y-3y>13-7[/tex]
[tex]-5y>6[/tex]
Divide both sides by -5 and change the inequality sign.
[tex]y<\dfrac{6}{-5}[/tex]
[tex]y<-1.2[/tex]
All the value of y less -1.2 are the solutions of the given inequality but -1 is greater than -1.2.
[tex]-1>-1.2[/tex]
Therefore, [tex]y=-1[/tex] is not a solution of the given inequality.
