Q uestion:
\(x+3\lt x-5\) and \(99\) is an odd number.
Solution:
Question:
The sum of interior angles of a triangle or a quadrilateral is \(360\degree\).
Example:
Determine the antecedent and consequent for the following implications "if \(p\), then \(q\)".
If \(x\) is a factor of \(16\), then \(x\) is a factor of \(64\).
Antecedent: \(x\) is a factor of \(16\).
Consequent: \(x\) is a factor of \(64\).
Write two implications based on the implication "\(p\) if and only if \(q\)" given below.
\(\sqrt{r}=15\) if and only if \(r=225\).
Implication 1: If \(\sqrt{r}=15\), then \(r=225\).
Implication 2: If \(r=225\), then \(\sqrt{r}=15\).
Write the converse, inverse and contrapositive of the following implication.
If is a positive number, then \(x\) is greater than \(0\).
Determine the truth value of the following mathematical statements. If it is false, give one counter-example to support your answer.
Question: The sum of interior angles of all polygons is \(180\degree\).
Answer: False because the sum of interior angles of a pentagon is \(540\degree\).
Question: \(6\) or \(36\) is a multiple of \(9\).
Answer: True
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