MATH SOLVE

4 months ago

Q:
# Rephrase in contrapositive form:(a) "If you are taller than 6 ft, then it is unpleasant for you to travel in economy class." Your contrapositive must not contain explicit references to negation. Assume that the negation of "unpleasant" is "pleasant".(b) "If x ≥ 0 and y ≥ 0 then xy ≥ 0" where x, y are real numbers.

Accepted Solution

A:

Step-by-step explanation:Consider the provided information. For the condition statement [tex]p \rightarrow q[/tex] or equivalent "If p then q" The rule for Contrapositive is: Negative both statements and interchange them. [tex]\sim q \rightarrow \sim p[/tex]Part (A) If you are taller than 6 ft, then it is unpleasant for you to travel in economy class.Here p is "you are taller than 6 ft, and q is "it is unpleasant for you to travel in economy class".It is given that Your contrapositive must not contain explicit references to negation. Assume that the negation of "unpleasant" is "pleasant".Contrapositive: If it is pleasant for you to travel in economy class then you are not taller than 6 ft then.Part (B) "If x ≥ 0 and y ≥ 0 then xy ≥ 0" where x, y are real numbers.Here p is "xy≥ 0, and q is "x ≥ 0 and y ≥ 0"The negative of xy≥ 0 is xy<0, x ≥ 0 is x<0 and y ≥ 0 is y<0.Remember negative means opposite.Contrapositive: If xy < 0 then x<0 and y<0.