3-5y>33 solve the inequality and express your answer in interval notation 

Let's solve the inequality \( 3 - 5y > 33 \) and express the solution in interval notation.

### Step 1: Isolate the variable \( y \)
1. **Subtract 3 from both sides:**

\[
3 - 5y - 3 > 33 - 3
\]

2. **Simplify the expression:**

\[
-5y > 30
\]

3. **Divide both sides by \(-5\)** (Remember to reverse the inequality when dividing by a negative number):

\[
y < -6
\]

### Step 2: Express the solution in interval notation
- The solution is \( y < -6 \).

- In interval notation, this is expressed as:

\[
(-\infty, -6)
\]

This is the solution for the inequality \( 3 - 5y > 33 \).

Do you have any questions, or would you like to continue?

### 5 Related Questions:
1. How do you solve inequalities with multiple variables?
2. What is the difference between strict and inclusive inequalities?
3. How would you graph \( y < -6 \) on a number line?
4. How do you check the solution of an inequality by substituting a value?
5. What steps would you take if the inequality was \( 3 - 5y \geq 33 \) instead of \( 3 - 5y > 33 \)?

### Tip:
Always ensure that you reverse the inequality sign when multiplying or dividing both sides by a negative number.

Learn how to solve the inequality 3 - 5y > 33 with a detailed step-by-step solution. This problem covers solving linear inequalities, including isolating the variable and expressing the solution in interval notation. Suitable for students in Grades 7-9.

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