Discrete Math:

1. (2 x 3 = 6 points) In the questions below, determine whether the proposition is TRUE or FALSE. Justify your answer. (a) If 2 + 2 = 3 and 2 > 1, then Oahu is an island in the state of Hawaii. (b) 1 = 1 + 0 is sufficient for 1 + 1 = 3. (c) The sun rises tomorrow if and only if 2 > 1 + 3. 2. (2 x 3 =6 points) Write the contrapositive, converse, and inverse of the following statement. "This exam is easy only if I study hard."