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# College Mathematics

College math problems including logical connective, truth tables, and algebra.

[See attachment]

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1. Write the negation of the statement: No one likes asparagus.

2. Determine the truth value of the statement

3. Determine whether the argument is valid or invalid. You may compare the argument to a standard form. Also construct a truth table.

1. Use the figure to find the following:

2. (a) Use the Pythagorean theorem to determine the length of the unknown side of the triangle, (b) determine the perimeter of the triangle, and (c) determine the area of the triangle.

3. Determine (a) the area and (b) the perimeter of the figure.

#### Solution Preview

Glenda Everson
Math 1002 Practice Problems

Week 3

1. Write the negation of the statement.
No one likes asparagus.

The negation of a statement is the opposite. So here, the negation of "No one likes asparagus" is

NOT(no one likes asparagus)

This would translate to "Someone (one or more people) likes asparagus".

2. Determine the truth value of the statement if

? a)p is true, q is false, and r is true.
? b)p is false, q is true, and r is true.
?
&#8764;q &#8744; (r &#923; p)

V means "or", ^ means "and", and ~ means "not"

A) p is true, q is false, r is true

&#8764;q &#8744; (r &#923; p)
not(F) or (T and T)
T or T
T

B) p is false, q is true, r is true

&#8764;q &#8744; (r &#923; p)
not(T) or (T and F)
F or F
F