Use a truth table to determine which of the following is true for this proposition:
(p & (q v p)) → ~p
question 1 options:
the proposition is never true.
the proposition is false when p is false.
the proposition is false if p is true.
the proposition is always true.

The proposition is false if p is true.

Step-by-step explanation:

I made the truth table in the picture, to fill it you need to know:

v : only is false when both propositions are false.

^ : only is true when both propositions are true.

⇒: only is false when the left proposition is true and the right proposition is false.

So, the answer is the third option.

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13