Question

translate each argument into symbolic form. then determine whether the argument is valid or invalid. you may use a truth table or, if applicable, compare the arguments symbolic form to a standard valid or invalid form. (you can ignore differences in past, present, and future tense.)

if amanda or kelsey love soccer, then they will play.
they will play.
therefore, amanda or kelsey love soccer.

let p be the statement \amanda loves soccer,\ q be the statement \kelsey loves soccer,\ and r be the statement \they will play.\ select the correct answer below and fill in the answer box to complete your choice.

\

$$\begin{array}{c|c|c|c|c|c} p & q & r & (p \\lor q) \ ightarrow r & r & p \\lor q \\\\ \\hline t & t & t & t & t & t \\\\ t & t & f & f & f & t \\\\ t & f & t & t & t & t \\\\ t & f & f & f & f & t \\\\ f & t & t & t & t & t \\\\ f & t & f & f & f & t \\\\ f & f & t & t & t & f \\\\ f & f & f & t & f & f \\end{array}$$

is the argument valid or invalid?
a. invalid

Explanation:

Translate the argument into symbolic form

$$
LATEXBLOCK0
$$

Analyze the argument form

$$
LATEXBLOCK1
$$

Determine validity

$$
LATEXBLOCK2
$$

Answer:

• A. Invalid (Correct answer)