Choose the number below that fits into ALL the following number sets: Natural Number Whole Number Integer (1 point) Responses 5 5 1.9 1.9 −23 negative 2 thirds 6x−3x

Answer 1

To determine which number fits into all the specified sets (Natural Number, Whole Number, Integer), let's first define each type:

• Natural Numbers: These are the positive integers (1, 2, 3, ...). They do not include zero or negative numbers.
• Whole Numbers: These include all natural numbers plus zero (0, 1, 2, 3, ...).
• Integers: These include positive numbers, negative numbers, and zero (... -3, -2, -1, 0, 1, 2, 3 ...).

Now, let's analyze each of the given options:

1. 5:

   • Natural Number: Yes
   • Whole Number: Yes
   • Integer: Yes
   • Conclusion: Fits into all sets.

2. 1.9:

   • Natural Number: No (not an integer)
   • Whole Number: No
   • Integer: No
   • Conclusion: Does not fit into any set.

3. −23:

   • Natural Number: No
   • Whole Number: No
   • Integer: Yes
   • Conclusion: Does not fit into all sets.

4. negative 2 thirds:

   • Natural Number: No
   • Whole Number: No
   • Integer: No
   • Conclusion: Does not fit into any set.

5. 6x−3x: This simplifies to 3x.

   • The inclusion of this term depends on the value of x, so we cannot classify it without knowing the value of x (it is not inherently a number).
   • Conclusion: Cannot determine without context.

From the options provided, the only number that fits into all three specified sets (Natural Number, Whole Number, Integer) is:

5