Question

Translate the following argument into symbolic form. Then determine whether it is valid or invalid by constructing a truth table. Explain your answer.

If high school students are deficient in reading, they will not be able to compete in the modern world. If high school students are deficient in writing, they will not be able to compete in the modern world. Therefore, if high school students are deficient in reading, then they are deficient in writing. (R = High school students are deficient in Reading; W = High school students are deficient in writing; M = High school students will not be able to compete in the modern world.)

Answer 1

R→ M

W→M

Therefore

R→W

See truth table in the attachment

Arguement is valid as it is always true as a whole.

Step-by-step explanation:

logical statement

(R→M) ^ (W→M) → (R→W)

Based on the results in truth table, as the argument always holds true it is a valid arguement