Test the validity of the argument. Tell and show why the argument is valid or invalid.If Hal did all of his homework, he received a grade of A or B. Hal received a B. Thus Hal did all of his homework.
What will be an ideal response?
Let h = "Hall did all of his homework"
a = "Hal received a grade of A"
b = "Hal received a grade of B"
If the argument is valid, the implication is a tautology. The only time that the implication could be false is if the hypothesis is true and the conclusion is false. Consider the case where a and b, are true and h is false, and fill in the truth values in evaluating the statement.
[(h ? (a ? b)) ? b] ? h
| F T | T | T | F F |
| (1) (4) | (2) | (3) | (6)(5) |
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Evaluate the expression.
A. 6 B. 36 C. 5 D. 7
Perform the indicated operations. Write answers using only positive exponents. Assume variables represent positive real numbers.
3
A. x3/2y9/2
B. 
C. x1/2y9/2
D. x3/2
Perform the indicated operations and simplify the result. Leave the answer in factored form.
A. 
B. 
C. x + 8
D. 
Graph the system of inequalities.
? 5y ? 3y ? x2 - 3
A. 
B. 
C. 
D. 