Question

Disjunction of : $2x+3=7$ $\to$ $x\ne 4$ is

• A. $2x+3=7$ $\wedge$ $x\ne 4$
• B. $2x+3=7$ $\leftrightarrow$ $x\ne 4$
• C. $2x+3=7$ $\vee$ $x\ne 4$
• D. $2x+3=7$ and $x\ne 4$

Answer 1

Answer: (C)

$2x+3=7$ $\vee$ $x\ne 4$

In logical mathematics, Disjunction is the relation of two distinct alternatives.

Two events are joined by OR.

Now let statement $A$ be $2x+3=7$ and statement $B$ be $x\ne 4$

Disjuntion of A and B is $A$ or $B$, i.e; the union of A and B ,i.e; $A\vee B$

So, option $C$ is correct.