The information about the rational numbers and integers shows that the correct option is C.
<h3>How to explain the information?</h3>
It should be noted that rational numbers are numbers where we can write as a fraction of two integers. Any rational number is in the form a/b where a,b are integers and b is nonzero.
Terminating decimals can be written as a rational number. Something like 3.1 is equivalent to 31/10.
Of the four answer choices, only choice C is correct.
Choice A has the value '3' as a rational number, but it doesn't have it in the set of integers as well. So that's why choice A is incorrect.
Choice B has -3.4 in the set of integers, which is not correct. Integers do not have any decimal portion. The same applies to choice D also. We can rule choices B and D out.
Therefore, the correct option is C.
Learn more about integers on:
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We can represent this situation by the equation 2x+4x+5x=33.
Then 11x=33, and x = 3.
Then the children's ages are in the ratio 2x:4x:5x, or 2(3):4(3):5(3), or
6:12:15.
Do these 3 ages add up to 33? 6 + 12 + 15 = 33? YES!
The children's ages are 6, 12 and 15 years respectively.