Question

Find the correct inference according to given premises and symbols :
$A$ : Not greater than $B$: Greater than
$C$ : Not equal to $D$ : Equal to
$E$ : Not less than $F$ : Less than
Premises :

(p $C$ m)

(p $A$ m)

• A. p $B$ m
• B. p $D$ m
• C. p $E$ m
• D. p $F$ m

Answer 1

The correct option is D p $F$ m

According to Premises :
$A$ : Not greater than or $\ngtr$ $B$ : Greater than $>$
$C$ : Not equal to $\ne$ $D$ : Equal to $=$
$E$ : Not less than $\nless$ $F$ : Less than $<$
(p$C$m) means, ( p $\ne$ m) which denotes that p is not equal to m and (p$A$m) means that ( p $\ngtr$ m) which denotes that p is not greater than m hence we can say that p is less than m and "less than" can be denoted by $F$ thus correct answer is p$F$m which is p $<$ m .
Thus Option D is correct answer.