Is the conditional statement true? If not, find the counterexample. (1 point)
If a vegetable is green, then it is broccoli.
A. The statement is true
B. No a counterexample is a carrot.
C. No a counterexample is a pea
D. No a counterexample is a kiwi
<u>ANSWER:</u>
We know that not all vegetables are green so answer will be (B. No a counterexample is a carrot). Because carrot is not green.
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Rewrite the following definition as a bi-conditional: (1 point)
Points that lie on the same line are collinear.
A. If a point lies on a line, then it is collinear.
B. If a point lies on a line with another point, then the two points are collinear.
C. If two points are collinear, then they lie on the same line.
D. Points lies on the same line if and only if the points are collinear.
<u>ANSWER:</u>
Bi-conditional statemensts are written in form of "if and only if". Choice D) matches with that format and also means same thing as the given statement.
Hence (D. Points lies on the same line if and only if the points are collinear.) is the final answer.
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Rewrite the following statement as a conditional statement: (1 point)
Apples grow on trees.
A. If it grows on a tree, it is an apple.
B. If a fruit is an apple, then it grows on a tree.
C. Apples are a fruit if an only if they grow on a tree.
D. If it is not a fruit, then it is not an apple.
<u>ANSWER:</u>
Conditional statement is written in form of "if p then q". Now reading the given choices and comparing with real life situation, we will find that only choice B "If a fruit is an apple, then it grows on a tree." is correct.
As not all fruits growing on tree are apple so choice A is not possible. There are many fruits other than apple so choice D is also wrong. choice C not in form of If p then q so it is also wrong.
