P: you are human  q: you have fins  you do not have fins only if you're human  the compound statement written in symbolic form is ?

Learning Target Ol: I can use propositional variables and logical connectives to represent statements; and interpret symbolic logical statements in plain language. Let p, q and r be the propositions: p: It's over 100 degrees. q: It's too hot. r: I will bike today. 1. Interpret the expression (-p) Vr in plain language. 2. Interpret the expression p q in plain language. 3. Write the statement "If it is not too hot and it's not too over 100 degrees, then I'll bike today" in terms of the variables p, q, and r. 4. Write the statement "If I don't bike today, then it's too hot" in terms of the variables p, q, and r.

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Let H represent "My house is large." and L represent "I have lots of children." Write the following compound statement symbolically (using symbols of logic): "If I have lots of children, then my house is not large" E Calculator > Next Question MacBook Air 吕口 F3 O00 FA F2 F5 F6 F8 F9 @ %23 $ & * 2 3 4 5 7 8 W E Y

Rewrite the conditional statement below as a disjunction (‘or’ statement) that is logically equivalent to the original statement."You will buy apples if you do not buy bananas."

Discrete Math

Using the symbolic representations given below: p: You are a criminal.p: You are a criminal.q: You break the lawq: You break the law Express the following compound statements in symbolic form. Statement 1: You are a criminal only if you break the law.You are a criminal only if you break the law.A. ∼p→q∼�→�B. q→p�→�C. ∼q→p∼�→�D. p→q�→�E. q→∼p�→∼�F. p→∼q�→∼� Statement 2: If you are not a criminal, you do not break the law.If you are not a criminal, you do not break the law.A. q→∼p�→∼�B. p→∼q�→∼�C. ∼q→p∼�→�D. ∼p→∼q∼�→∼�E. ∼q→∼p∼�→∼�F. ∼p→q∼�→� FILL BLANK: Statement 2 is the ________ of Statement 1.A. contrapositiveB. inverseC. converse Statement 1 and Statement 2 are:A. equivalentB. not equivalent

Use a truth table to determine whether the symbolic form of the argument is valid or invalid. p^q pvq ..P→q Choose the correct answer below. O The argument is valid. O The argument is invalid. C

Mathematical Logic First-order or predicate logic. Rewrite each of the following formulas so that all their symbols appear explicitly and in order: a. 3v₁Pv₁ APV₁ b. Vv₁Av₁ ABv₁³V₂¬Cv₂ V DV₂ Please be as clear as possible. Explain your answer. Thank you.