Rewrite each of the following statements in the form “p if and only is q.” (i) r: For you to get an A grade, it is necessary and sufficient that you do all the homework you regularly. (ii) s: If a tumbler is half empty, then it is half full, and if a tumbler is half full, then it is half empty.
Rewrite each of the following statements in the form “p if and only is q.” (i) r: For you to get an A grade, it is necessary and sufficient that you do all the homework you regularly. (ii) s: If a tumbler is half empty, then it is half full, and if a tumbler is half full, then it is half empty.

Answers:

(i) In the form “p if and only is q.”

You get an A grade if and only if you do all the homework regularly.

(ii) In the form “p if and only is q.”

A tumbler is half empty if and only if it is half full.