Question

an argument is represented below.

premise 1: if you exercise, then you sweat.
premise 2: you are sweating.
conclusion: you are exercising.

assume \\(p\\) represents \you exercise\ and \\(q\\) represents the statement \you sweat.\

a. write premise 1 in symbolic notation:
b. write premise 2 in symbolic notation:
c. write the conclusion in symbolic notation:
d. use a truth table to evaluate the argument. is this argument valid?

• no, this answer is invalid.
• yes, this argument is valid.

Explanation:

Translate premises and conclusion to symbolic form

$$
LATEXBLOCK0
$$

Analyze argument form for validity

$$
LATEXBLOCK1
$$

Answer:

Question a

Write Premise 1 in symbolic notation: <blank>\(p
ightarrow q\)</blank>

Question b

Write Premise 2 in symbolic notation: <blank>\(q\)</blank>

Question c

Write the Conclusion in symbolic notation: <blank>\(p\)</blank>

Question d

Use a truth table to evaluate the argument. Is this argument valid?

• No, this argument is invalid. (Correct answer)
• Yes, this argument is valid.