Question

1. what is the solution to $19 - 6y \leq -2y + 21$? enter your answer in the box.

Explanation:

Step1: Add \(6y\) to both sides

To isolate the variable terms, we add \(6y\) to each side of the inequality \(19 - 6y\leq - 2y+21\). This gives us \(19\leq4y + 21\).

Step2: Subtract 21 from both sides

Next, we subtract 21 from both sides to get the constant terms on one side. So, \(19 - 21\leq4y\), which simplifies to \(- 2\leq4y\).

Step3: Divide by 4

Now, we divide both sides by 4 to solve for \(y\). \(\frac{-2}{4}\leq y\), which simplifies to \(y\geq-\frac{1}{2}\).

Answer:

\(y\geq-\frac{1}{2}\)