5y≤6y−3
or         3−5y>33
Step 1 of 4 :  Solve the first inequality and express your answer in interval notation. Use decimal form for numerical values.

To solve the first inequality \( 5y \leq 6y - 3 \), let's follow these steps:

### Step 1: Isolate the variable \( y \)
1. **Subtract \( 6y \) from both sides:**

\[
5y - 6y \leq -3
\]

2. **Simplify the expression:**

\[
-y \leq -3
\]

3. **Divide both sides by \(-1\)** (Remember to reverse the inequality when dividing by a negative number):

\[
y \geq 3
\]

### Step 2: Express the solution in interval notation
- The solution is \( y \geq 3 \).

- In interval notation, this is expressed as:

\[
[3, \infty)
\]

This is the solution for the first inequality.

Would you like to move on to the next steps or have any questions about this step?

### 5 Related Questions:
1. How do you solve compound inequalities?
2. What is the significance of reversing the inequality when dividing by a negative number?
3. How can you graph the solution \( y \geq 3 \) on a number line?
4. What would happen if the inequality was strict (\( < \) or \( > \)) instead of inclusive (\( \leq \) or \( \geq \))?
5. How do you solve absolute value inequalities?

### Tip:
Always remember to flip the inequality sign when you multiply or divide by a negative number.

Learn how to solve the inequality 5y ≤ 6y - 3 step-by-step with a detailed explanation in interval notation. This problem covers concepts of inequalities and solving linear equations. Suitable for students in Grades 7-9.

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