Write the converse, inverse, and contrapositive of each of the following implications. For each implication, determine its truth value as well as the truth values of its corresponding converse, inverse, and contrapositive.
a) If 0 + 0 = 0, then 1 + 1 = 1.
b) If – 1<3 and 3 + 7 = 10, then sin = –1.
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