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Let's solve the compound inequality step-by-step.

### The compound inequality given is:
\[
2y + 3 < 5 \quad \text{or} \quad 4y - 5 \geq -17
\]

#### 1. Solve \( 2y + 3 < 5 \):

- Subtract 3 from both sides:
  \[
  2y < 5 - 3
  \]
  \[
  2y < 2
  \]

- Divide both sides by 2:
  \[
  y < 1
  \]

#### 2. Solve \( 4y - 5 \geq -17 \):

- Add 5 to both sides:
  \[
  4y \geq -17 + 5
  \]
  \[
  4y \geq -12
  \]

- Divide both sides by 4:
  \[
  y \geq -3
  \]

#### 3. Combine the solutions:

The compound inequality has an "or" operator, so we take the union of both solutions:
- From \( 2y + 3 < 5 \), we get \( y < 1 \)
- From \( 4y - 5 \geq -17 \), we get \( y \geq -3 \)

Thus, the solution in interval notation is:
\[
y \in [-3, 1)
\]

### Final Answer:
The solution in interval notation is \( [-3, 1) \).

Would you like more details or explanations?

Here are five related questions:
1. How do we solve compound inequalities with an "and" condition?
2. What are the steps for solving inequalities involving fractions?
3. Can inequalities be solved graphically?
4. How do absolute value inequalities differ from regular inequalities?
5. How do you handle inequalities when multiplying or dividing by negative numbers?

**Tip:** Always reverse the inequality sign when multiplying or dividing by a negative number.

Solve the compound inequality: 2y + 3 < 5 or 4y - 5 ≥ -17. Write the solution in interval notation.

Learn how to solve compound inequalities, including solving 2y + 3 < 5 and 4y - 5 ≥ -17. This tutorial breaks down the steps for solving each inequality and expressing the solution in interval notation. Suitable for students in Grades 8-10.

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