Which of the following is not true regarding sets of numbers?
2 answers:
Answer:
C. All rational numbers are integers
Step-by-step explanation:
We are required to find the statement which is not true.
From the options, we see that,
'All whole numbers are rational numbers, All integers are rational numbers and All irrational numbers are real numbers' are the true statements.
Options A, B and D are true.
But, in option C, we have that,
<h3>'All rational numbers are integers', is not a true statement.</h3>For example, is not an integer, which is the set of numbers {...,-2,-1,0,1,2,....}.
Thus, option C is not true.
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The graph of the function:
Is the last graph (bottom graph of the second image).
<h3>Which graph represents the given function?</h3>
Here we have the function:
Remember that the argument of a square root must be zero or larger, then the minimum of the domain is the value of x such that:
x + 2 = 0
x = -2
Then the function starts at:
Then the graph should start at (-3, 2).
We can also identify another point by evaluating in x = 2.
So the function also passes through (2, - 1).
Notice that the only graph that contains these two points is the last graph (the bottom graph on the second image), so that is the correct option.
If you want to learn more about square roots:
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