Question

The contrapositive of 2x + 3 = 9 ⇒ x ≠ 4 is (a) x = 4 ⇒ 2x + 3 ≠ 9 (b) x = 4 ⇒ 2x + 3 = 9 (c) x ≠ 4 ⇒ 2x + 3 ≠ 9 (d) x ≠ 4 ⇒ 2x + 3 = 9

Answer 1

sorry it's hardddddd

Answer 2

Concept

Contrapositive is defined as converse of an inverse i.e.  ~q→~p.

where p,q are conditional logics which depend on in input.

Given

2x + 3 = 9 ⇒ x ≠ 4

Find

The contrapositive of 2x + 3 = 9 ⇒ x ≠ 4

Solution

As we know the definition of contrapositive ~q→~p.

let p = 2x+3=9 and q = x≠4

now ~p = 2x+3≠9 and ~q= x=4

The contrapositive of the given logic 2x + 3 = 9 ⇒ x ≠ 4  according to definition will be   2x+3≠9 ⇒ x=4

The contrapositive of  2x + 3 = 9 ⇒ x ≠ 4 will be 2x+3≠9 ⇒ x=4.

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