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Some students have difficulties differentiating between the phrase only if and the word if. Hint: Use a number line to reason with the statements
Some students have difficulties differentiating between the phrase only if and the word if. Hint: Use a number line to reason with the statements below. a. The statement "N is positive if N> 100" is_ [Type your justification here.] b. The statement "N is positive only if N> 100" is [Type your justification here] [true/false]. [true/false]. c. Which conditional statement above (i or ii) is equivalent to "If N is positive then N is greater than 100?" Why? [Type your answer and your justification here] d. Which conditional statement above (i or ii) is equivalent to "If N is greater than 100 then N is positive?" Why? [Type your answer and your justification here] e. Which conditional statement above (i or ii) is equivalent to "If N is not greater than 100 then N is not positive?" Why? [Type your answer and your justification here] f. Which conditional statement above (i or ii) is equivalent to "If N is not positive then N is not greater than 100?" Why? [Type your answer and your justification here] Suppose R represents "N is positive" and S represents "N> 100." a. The symbolic notation for the statement in 7a is R if S. b. The symbolic notation for the statement in 7b is_ c. The symbolic notation for the statement in 7c is. d. The symbolic notation for the statement in 7d is. e. The symbolic notation for the statement in 7e is f. The symbolic notation for the statement in 7f is [type your answer]. [type your answer]. [type your answer]. [type your answer]. [type your answer].
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