is the inverse of the following conditional true? if ( zgeq7 ), then ( z > 7 ). yes no
is the inverse of the following conditional true? if ( zgeq7 ), then ( z > 7 ). yes no
Answer
Explanation:
Step1: Find the inverse of the conditional statement
The inverse of “If (p), then (q)” is “If not (p), then not (q)”. For the statement “If (z\geq7), then (z > 7)” ((p:z\geq7), (q:z > 7)), the inverse is “If (z<7), then (z\leq7)”
Step2: Analyze the truth - value of the inverse
If (z < 7), then (z) is definitely less than or equal to (7) (since (z<7) implies (z\leq7)).
Answer:
yes