Question

Solve the inequality y - 5(y+1) >= 2y - 5 and write the solution in interval notation.

Answer 1

`\begin{gathered} y\leq0 \\ \text{ Interval Notation :: }(-\infty\: ,\: 0\rbrack \end{gathered}`

Step-by-step explanation:

Here, we want to solve the given inequality

We proceed as follows:

`\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}`

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