- #1
1MileCrash
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Homework Statement
Decide if each of the following is a sentence or not. If the item is a sentence, is it true or false? Give a reason for your answer. If it is not a sentence, identify the part of speech.
x^2 - x - 12
x^2 - x - 12 = 0
x^2 - x - 12 = (x-3)(x+4)
Homework Equations
The Attempt at a Solution
1.) I would call this a noun. "Equals n" or "is greater than n" are examples of verbs, which would make this a statement with verifiable truth or falsehood. Since it is not a sentence, no truth or falsehood exists.
*2.) A question, but no statement. "Values of x where this is true." Although values exist, the statement taken as is doesn't have an inherent truth or falsehood.
3.) A complete, true statement. "x^2 - x - 12" is the noun, and "equals (x+4)(x-3)" is a verb. The statement can be shown to be true with multiplication or factoring.
(x+4)(x-3) = x^2 + 4x - 3x - 12 = x^2 - x - 12
#2 is really the one I am unsure of. Do you all agree?