Rephrase the statement in the requested symbolic form.The inverse of m → ~n

Use a truth table to determine if ~( p → q ) ↔ (~ p ∨ q ) is a tautology. (Create a truth table for full credit.  You can create one here or upload a scan of your TRUTH TABLE into question 22 for full credit.)

Please type your full name below as a pledge that you are honorably completing this test on your own.  You may use the “Logical Equivalences and Valid Argument Form” help sheet containing formulas.  Keep in mind that you only have 75 minutes to complete this test.  There is an extra 10 minutes added since you are expected to upload a scan of your handwritten work at the end.

Determine how many rows will be in the truth table for the following statement.~(p ∧ q) ∧ (q ∨ ~r)

a) Symbolize the statement “If I save a little money each week, then I can buy a car.” Then express the b) inverse symbolically and English,c) converse  symbolically and English, and d) contrapositive symbolically and English.

Upload your work for all questions here as ONE PDF.

Determine whether the sentence is a TF statement.”Do you like this color?”

Convert the compound statement into words.p = “The food tastes delicious.” q = “We eat a lot.” r = “Nobody has dessert.” ~q ∨ (p ∧ r)

Answer true, false, or cannot be determined: Suppose r is false. Then what is the truth value of the statement ~(p ∨ ~r ) → (r ↔ w)? (Upload a scan of your work as one pdf into the last question for full credit.)

What best represents Mr. Gregory’s estimated protein needs?