Question

Make use of one of De Morgan's laws to write the given statement in an equivalent form. It is not true that, she received a promotion or that she received a raise.

1.She received a promotion and she received a raise.
2.She did not receive a promotion and she did not receive a raise.
3.She did not receive a promotion but she did receive a raise.
4.She either received a promotion or she received a raise, but not both.
5. She received a promotion but she did not receive a raise

Answer 1

The given statement is rephrased using De Morgan's laws to 'She did not receive a promotion and she did not receive a raise', which is equivalent to the original statement.

Step-by-step explanation:

The statement 'It is not true that she received a promotion or that she received a raise' can be rewritten using one of De Morgan's laws, which state that the negation of a conjunction is equivalent to the disjunction of the negations, and the negation of a disjunction is equivalent to the conjunction of the negations. Applying De Morgan's laws to the given statement, we negate each part of the statement and change the disjunction 'or' to a conjunction 'and'. This gives us 'She did not receive a promotion and she did not receive a raise' as the equivalent form using De Morgan's law.