Determine whether the argument is valid or invalid. If valid, name the type of reasoning and if invalid, determine the error in reasoning.No students are enthusiastic.You are enthusiastic.Therefore, you are not a student.
A. invalid, false chain pattern
B. valid, direct
C. valid, indirect
D. invalid, fallacy of the converse
E. invalid, fallacy of the inverse
Answer: C
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Use a quantifier to make the following true or false, as indicated, where x is a natural number.2x + 1 = 5 - x (make true)
A. No natural number x exists such that 2x + 1 = 5 - x. B. Only two natural numbers x exist such that 2x + 1 = 5 - x. C. For every natural number x, 2x + 1 = 5 - x. D. There exists a natural number x such that 2x + 1 = 5 - x.
Find the sum.
A. 75 B. 81 C. 6 D. 26
Write the sentence as an equation. Use x to represent "a number."Twice the difference of 9 and a number yields -2.
A. 2(9 - x) = -2 B. 2x - 9 = -2 C. 9 - 2x = -2 D. 2(x - 9) = -2
Graph the function.P(x) = (2x + 2)(x - 1)2
A. 
B. 
C. 
D. 