Answer:
A truth table should consider all possible truth values of its simple statements. In this case there are two simple statements, where each one of them can take true or false value, so each of the estatements needs two rows for their individual truth values and, therefore, the compound estatement requires 2x2 = 4 rows for its truth table.
Step-by-step explanation:
4(a-9)=-30
Hope this helps!
If is odd, then we can write for some .
Expanding gives
This reduces to
Notice that is 8 times the product of two consecutive integers, one even and the other odd. This product is even and thus divisible by 2, so that where , and the equivalence further reduces to
as required.