is the following conditional true? if ( z leq 8 ), then ( z < 7 ). yes no
is the following conditional true? if ( z leq 8 ), then ( z < 7 ). yes no
Answer
Explanation:
Step1: Analyze the conditional statement
A conditional statement (p\rightarrow q) (if (p), then (q)) is false when (p) is true and (q) is false. Here (p:z\leq8) and (q:z < 7).
Step2: Find a counter - example
Let (z = 7.5). Then (z\leq8) (since (7.5\leq8)) is true, but (z<7) (since (7.5<7)) is false.
Answer:
no