Question

Truth value for the statement "$5+7=10$ and $4+3=7$" is

• A. $T$
• B. $F$
• C. Depends upon the truth values of sub statement.
• D. $5+7=10⟺4+3=7$ can not be determined.

Answer 1

The correct option is B $F$

If two simple statements $p$ and $q$ are connected by ‘AND, then the resulting statement ''$p$ and $q$'' is called a conjunction of $p$ and $q$ and denoted by $p\wedge q$
i.e.,$5+7=10$ "$\wedge$" $4+3=7$
Here, Truth values for $p$ is $F$ and $q$ is $T$.
So, Truth value for ''$p$ and $q$'' is $F$.