Mathematics Homework Help
Tidewater Community College Linear Algebra Logic Basics Question
2.The expression =IF(A1 > 6, 2*A1, 5*A1) is used in a spreadsheet.
Find the result if A1 is 2
Find the result if A1 is 8.
3.An accountant needs to withhold 20% of income for taxes if the income is below $30,000, and 23% of income if the income is $30,000 or more. The income amount is in cell A1. Write a spreadsheet expression that would calculate the amount to withhold.
4.Complete the truth table for the statement Q ∨ ~S.
| Q | S | Q ∨ ~S |
|---|---|---|
| T | T | |
| T | F | |
| F | T | |
| F | F |
5.Complete the truth table for the statement R → ~Q.
| R | Q | R → ~Q |
|---|---|---|
| T | T | |
| T | F | |
| F | T | |
| F | F |
6.Complete the truth table for the statement A ∨ (B ∧ C).
7.
| A | B | C | A ∨ (B ∧ C) |
|---|---|---|---|
| T | T | T | |
| T | T | F | |
| T | F | T | |
| T | F | F | |
| F | T | T | |
| F | T | F | |
| F | F | T | |
| F | F | F |
7.Complete the truth table for the statement ~(A ∨ B) ∨ C.
| A | B | C | ~(A ∨ B) ∨ C |
|---|---|---|---|
| T | T | T | |
| T | T | F | |
| T | F | T | |
| T | F | F | |
| F | T | T | |
| F | T | F | |
| F | F | T | |
| F | F | F |
8.For the statement P→S
, identify the Inverse, Converse, Contrapositive and original statement.
9.Select the negation for each of the following statements.
The tablet is on sale or I will not buy it.
The sun is shining and it is raining.
10.Use De Morgan’s Laws to write a statement that is equivalent to the following statement:
“It is not true that North Dakota and East Dakota are both states.”
11.Use De Morgan’s Laws to write the negation of the following statement:
“I pay taxes and I vote.”
