Answer :
Answer:
[tex]\begin{gathered} y\leq0 \\ \text{ Interval Notation :: }(-\infty\: ,\: 0\rbrack \end{gathered}[/tex]Explanation:
Here, we want to solve the given inequality
We proceed as follows:
[tex]\begin{gathered} y-5(y+1)\ge2y-5 \\ y-5y-5\ge2y-5 \\ y-5y-2y\ge-5+5 \\ -6y\ge0 \\ y\leq0 \end{gathered}[/tex]Note that the inequality sign changed
This is because we had to divide by a negative coefficient of the variable which is -6 in this case