Question

what are the two conditional statements that make up the following biconditional? i am late to work if and only if i miss the bus. select two correct answers. a. if i am late to work, then i missed the bus. b. if i am on time to work, then i did not miss the bus. c. if i missed the bus, then i am at work. d. if i missed the bus, then i am late to work. e. i missed the bus, i am late to work.

Explanation:

A biconditional statement "p if and only if q" is equivalent to two conditional statements: "if p then q" and "if q then p". Here, p is "I am late to work" and q is "I miss the bus". So the two conditional statements are "If I am late to work, then I missed the bus" and "If I missed the bus, then I am late to work".

Answer:

A. If I am late to work, then I missed the bus.
D. If I missed the bus, then I am late to work.