Question: (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 !(condition1 && condition2) is logically equivalent to the expression (!condition1 || !condition2). Also, the expression !(condition1 || condition2) is logically equivalent to the expression (!condition1 && !condition2). 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 <= 8) && ( y > 4 ) )

d) !( ( i > 4 ) || ( j <= 6 ) )