(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 log- ically 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 the original expression and the new expression are equivalent in each case.
a.
```
!( x < 5 ) && !( y >= 7 )
```
b.
```
!( a == b ) || !( g != 5 )
```
c.
```
!( ( x <= 8 ) && ( y > 4 ) )
```
d.
```
!( ( i > 4 ) || ( j <= 6 ) )
```
```
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