Question

Which term best describes the statement given below?

If p --> q and q-->r, then p-->r.
A. Contrapositive statement
B. A syllogism
C. Inverse statement
D. Converse statement

Answer 1

B is as it is a logical form of reasoning. if a=50, b=30, c=20
if a > b and b > c then a > c

Answer 2

Option B

Explanation:

Consider statements :

If a figure is a rectangle , (p)

then it is a quadrilateral. (q)

Contrapositive statement :

If
`\sim` q then
`\sim` p

If a figure is not a quadrilateral then it is not a rectangle .

Inverse Statement :

If
`\sim` p then
`\sim` q

If a figure is not a rectangle then it is not a quadrilateral .

Converse Statement :

If q then p

If a figure is a quadrilateral then it is a rectangle

Syllogism:

is a form of reasoning in which a conclusion is drawn from two given propositions

Given Statement: If
`p\geq q\,,\,q\geq r` then
`p\geq r`

Therefore, option B is correct as conclusion
`p\geq r` is drawn from two statements
`p\geq q\,,\,q\geq r`