https://file.aiquickdraw.com/mathbot/file/1727217208579ssrg1adt.jpg

Let's solve the inequality:

\[
-19 < -5 - 2y
\]

### Step 1: Eliminate the constant term on the right-hand side.

We start by adding \(5\) to both sides to isolate the term with \(y\):

\[
-19 + 5 < -5 - 2y + 5
\]

\[
-14 < -2y
\]

### Step 2: Solve for \(y\).

Next, we need to divide both sides of the inequality by \(-2\). **Remember**, when dividing or multiplying an inequality by a negative number, the direction of the inequality sign must be reversed.

\[
\frac{-14}{-2} > \frac{-2y}{-2}
\]

\[
7 > y
\]

### Final solution:

\[
y < 7
\]

The solution to the inequality is \( y < 7 \).

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Would you like more details or have any questions?

Here are 5 related questions:
1. How do you handle inequalities when multiplying by a negative number?
2. What happens if the inequality symbol isn't flipped when dividing by a negative number?
3. Can you represent the solution of \( y < 7 \) graphically on a number line?
4. How does solving inequalities differ from solving equations?
5. How can you check if a solution to an inequality is correct?

**Tip:** Always flip the inequality sign when multiplying or dividing by a negative number!

Learn how to solve the inequality -19 < -5 - 2y step-by-step. This solution involves isolating the variable, reversing the inequality sign when dividing by a negative number, and determining the final solution for y. Suitable for Grade 8-10 students.

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