Question

Write the converse, inverse and contrapositive of the following implication.

“If x = 7, then x + 1 = 8”

i converse =

ii inverse=

iii contrapositive=

Answer 1

Answer:

Let p: x<y,

Let q: x

2

<y

2

Then the symbolic form of the given statement is p→q.

Converse: q→p is the converse of p→q.

i.e., If x

2

<y

2

, then x<y.

Inverse: ∼p→∼q is the inverse of p→q.

i.e., If x≥y, then x

2

≥y

2

.

OR

If x≮y, then x

2

≮y

2

.

Contrapositive: ∼q→p is the contrapositive of p→q.

i.e., If x

2

≥y

2

, then x≥y.

OR

If x

2

≮y

2

, then x≮y.