Geoff Section 1.pdf - Southern New Hampshire University 1-5...

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9/6/20, 9 : 53 PM Southern New Hampshire University - 1-5 Module One Problem Set Page 1 of 27 [PRINT] MAT-140-J1898 20EW1 Precalculus , 1-5 Module One Problem Set Geoffrey Zimmermann, 9/7/20 at 12:23:21 AM EDT Question1: Score 2/2 Solve the compound inequality. 3 x + 1 > 2 x 4 > x 11 Enter the exact answer in interval notation. To enter , type infinity. To enter , type U. Your response Correct response (-5,infinity) (-5, infinity) Grade: 1/1.0 A+ 100% Total grade: 1.0 × 1/1 = 100% Feedback: Write two inequalities: 3 x + 1 > 2 x 4 and 2 x 4 > x 11 x + 1 > 4 x 4 > 11 x > 5 x > 7 Therefore, the solution set is x > 5 or in interval notation ( 5, ) . ! !
9/6/20, 9 : 53 PM Southern New Hampshire University - 1-5 Module One Problem Set Page 2 of 27 Question2: Score 2/4 Solve the inequality involving absolute value.|x2| + 612Enter the exact answer in interval notation.To enter , type infinity. To enter , type U.Your response Show your work and explain, in your own words, how you arrived at your answers.There asample student explanations in the feedback to questions 3, 5, 9, and 14 that show the level detail that is expected in your explanations.
9/6/20, 9 : 53 PM Southern New Hampshire University - 1-5 Module One Problem Set Page 3 of 27 x 2 ≤ − 6 x 2 6 x ≤ − 4 x 8 Express the inequality in interval notation. ( −∞ , 4] [8, ) Question3: Score 2/2 Solve the inequality involving absolute value. x 3 6 < 4 Enter the exact answer in interval notation. To enter , type infinity. To enter , type U. Your response Correct response (-21,27) (-21, 27) Grade: 1/1.0 A+ 100% Note: There is a sample student explanation given in the feedback to this question. Total grade: 1.0 × 1/1 = 100% Feedback: Sample student explanation One version of the problem is: Solve the inequality involving absolute value. | | ! !
9/6/20, 9 : 53 PM Southern New Hampshire University - 1-5 Module One Problem Set Page 4 of 27 x 5 6 < 4 A possible student explanation is: Multiply both sides by 6 to get |x-5|<24. Values that are less than 5 away from 24 are 19 through 29, not including 19 and not including 29, or (19,29). Note - you don't need to be fancy and type fractions in using an equation tool. For x 5 6 , you can just type in (x-5)/6. Mobius feedback: x 3 6 < 4 4 < x 3 6 < 4 24 < x 3 < 24 21 < x < 27 Express the inequality in interval notation.

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