Let's analyze the question from the image:

"Which set of integers is even or less than 124?"

The options given are:

1. {112, 117, 120, 130}
2. {113, 118, 121, 129}
3. {114, 118, 128, 133}
4. {115, 117, 129, 132}

Step 1: Identify the even numbers

• Even numbers are those divisible by 2.

Step 2: Verify the condition of being less than 124

• Numbers less than 124 should be considered as well.

Let's break it down:

1. Option 1: {112, 117, 120, 130}

   • Even numbers: 112, 120, 130
   • Numbers less than 124: 112, 117, 120
   • This set meets the condition of being even or less than 124.

2. Option 2: {113, 118, 121, 129}

   • Even numbers: 118
   • Numbers less than 124: 113, 118, 121
   • This set also meets the condition of being even or less than 124.

3. Option 3: {114, 118, 128, 133}

   • Even numbers: 114, 118, 128
   • Numbers less than 124: 114, 118
   • This set satisfies the condition as well.

4. Option 4: {115, 117, 129, 132}

   • Even numbers: 132
   • Numbers less than 124: 115, 117, 129
   • This set also fits the condition.

Conclusion:

All sets meet the condition of being even or less than 124. However, Option 1 contains the most even numbers under 124, making it the most aligned with the question's condition.

Would you like any further details or clarification?

Here are 5 related questions to consider:

1. What defines an even number?
2. How can we systematically identify numbers less than a given value?
3. Why is divisibility by 2 important in defining even numbers?
4. How can inequalities help in determining a number range?
5. What strategies can help in solving number sets problems efficiently?

Tip: When solving problems with multiple conditions, tackle each condition one by one for clarity.