Given inequality 􏰀6􏰁 < 􏰀30 , 􏰁􏰀2 􏰁􏰀2
a) Solve it using an algebraic strategy.

The inequality provided is a bit unclear due to formatting. However, I will interpret it as follows:

\[
\frac{6}{2} < \frac{30}{2}
\]

Let's solve this inequality step by step.

### Step 1: Simplify both sides of the inequality
The given inequality is:

\[
\frac{6}{2} < \frac{30}{2}
\]

Simplify the fractions:

\[
3 < 15
\]

### Step 2: Analyze the inequality
The inequality \( 3 < 15 \) is clearly true.

### Final Answer
The inequality \( \frac{6}{2} < \frac{30}{2} \) simplifies to \( 3 < 15 \), which is a true statement.

Would you like further details or have any questions?

### Related Questions
1. How would the solution change if the inequality was \( \frac{6}{2} > \frac{30}{2} \)?
2. What happens if you change the signs in the inequality, e.g., \( \frac{-6}{2} < \frac{-30}{2} \)?
3. How would you solve the inequality \( \frac{x+6}{2} < \frac{30}{2} \) for \( x \)?
4. What if the inequality had variables in the denominator, like \( \frac{6}{x} < \frac{30}{y} \)?
5. Can you solve \( \frac{6}{2}x < \frac{30}{2}y \) for \( x \) in terms of \( y \)?
6. How does the inequality change if you multiply both sides by a negative number?
7. How would the inequality \( \frac{6}{2} \leq \frac{30}{2} \) differ in interpretation?
8. What are the implications of squaring both sides of an inequality?

### Tip
When simplifying inequalities, always ensure you correctly handle operations like multiplication or division by negative numbers, as they can reverse the inequality sign.

Learn how to solve the inequality 6/2 < 30/2 with a step-by-step explanation. This problem involves simplifying fractions and analyzing inequalities, suitable for students in Grades 6-8.

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