Using the letters indicated for the component statements, translate the following compound statements into symbolic notation.

a. A: prices go up; B: housing will be plentiful; C: housing will be expensive If prices go up, then housing will be plentiful and expensive; but if housing is not expensive, then it will still be plentiful.

b. A: going to bed; B: going swimming; C: changing clothes Either going to bed or going swimming is a sufficient condition for changing clothes; however, changing clothes does not mean going swimming.

c. A: it will rain; B: it will snow Either it will rain or it will snow but not both.

d. A: Janet wins; B: Janet loses; C: Janet will be tired If Janet wins or if she loses, she will be tired.

e. A: Janet wins; B: Janet loses; C: Janet will be tired Either Janet will win or, if she loses, she will be tired.