(De Morgan's Laws) In this chapter, we discussed the logical operators &&, ||, and !. De Morgan's Laws can sometimes make it more convenient for us to express a logical expression. These laws state that the expression ! (condition 1 && condition 2) is logically equivalent to the expression (!condition l | | !condition 2). Also, the expression !(condition 1 | | condition 2) is logically equivalent to the expression (!condition 1 && !condition 2). Use De Morgan's Laws to write equivalent expressions for each of the following, and then write a program to show that both the original expression and the new expression in each case are equivalent.
a) !(x < 5) && !(y >= 7)
b) !(a == b) || !(g != 5)
c) !((x <= g) && (y > 4))
d) !((i > 4) || (j <= 6))
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