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Upper and Lower Bounds. Intervals and Segments

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2.2Upper and Lower Bounds. Intervals and Segments

Upper and Lower Bounds Practice Questions

1. The difference between the upper bound of numbers which is 80 after being rounded to the nearest ten and the lower bound of numbers which is 60 after being rounded to the nearest ten is

  1. 30
  2. 29
  3. 25
  4. 14

Correct Answer: B

2. The value of a number rounded to the nearest ten is 320. What is the difference between the upper and lower bound of this number?

  1. 9
  2. 10
  3. 99
  4. 310

Correct Answer: A

3. Calculate the minimum and maximum speeds of a car travelling 180 km in 3 hours if both distance d and time t represent rounded values. Express the results in three significant figures.

  1. vmax = 73.6 km/h; vmin = 50.0 km/h
  2. vmax = 80.0 km/h; vmin = 50.0 km/h
  3. vmax = 73.6 km/h; vmin = 60.0 km/h
  4. vmax = 70.0 km/h; vmin = 52.6 km/h

Correct Answer: A

4. The arithmetic sentence [1, 5) represents a ..

  1. Interval
  2. Segment
  3. Half interval
  4. Half segment

Correct Answer: D

5. The set that includes all possible numbers which after rounding to the nearest 100 give 1200 is written as..

  1. (1100, 1300)
  2. [1150, 1249)
  3. [1150, 1250)
  4. (1150, 1250]

Correct Answer: C

6. The set of numbers shown on the number axis below is written in symbols as .

Math Tutorials: Upper and Lower Bounds. Intervals and Segments Example
  1. [-5, 1]
  2. (-5, 1)
  3. (-5, 1]
  4. [-5, 1)

Correct Answer: C

7. The set of numbers shown on the number line below indicates a/an..

Math Tutorials: Upper and Lower Bounds. Intervals and Segments Example
  1. Interval
  2. Half interval
  3. Segment
  4. Half-segment

Correct Answer: A

8. Which of the following figures shows the number set (-∞, 3]?

Math Tutorials: Upper and Lower Bounds. Intervals and Segments Example

Correct Answer: B

9. Which of the following represents the set of numbers which, after being rounded to the nearest 100, are 500?

  1. [450, 549)
  2. [450, 550]
  3. (450, 550]
  4. [450, 550)

Correct Answer: D

10. The set of numbers that are 27 after rounding are..

  1. [25, 35)
  2. [26.5, 27.5]
  3. [26.5, 27.4)
  4. [26.5, 27.5)

Correct Answer: D

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