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Which choice below is the complete solution set of |2z - 3| ≥ 7?

(A) z ≥ 5

(B) z ≤ -2 or z ≥ 5

(C) -5 ≤ -6 or z ≥ 2

(D) z ≤ -6 or z ≥ 2

(E) z ≤ -5 or z ≥ 2

The Correct Answer
Explanation

The figure below shows the screen of an automobile navigation map. Point A represents the car's starting point, point B represents the driver's intended destination, and point C, the center of the circle, is the car's current position. Currently, point A is 15 miles from point C and 250° clockwise from due north, and point B is 20 miles from point C and 30° clockwise from due north. Which of the following represents the shortest distance (a straight line) between the car's starting point and the driver's desired destination?

(Note: For any ABC in which side a is opposite A, side b is opposite B, and side c is opposite C, the law of cosines applies: c2 = a2

(A) (B) (C) (D) (E)

Correct Answer: B

MicroCorp will hold its annual company picnic next week and will assign 3 planning duties to its employees. One person selected will reserve a venue, another will arrange catering, and a third will plan activities. There are 10 employees eligible to fulfill these duties, and no employee can be assigned more than one duty. How many different ways are there for duties to be assigned to employees?

(F) 73 (G) 93 (H) 103 (J) 9 · 8 · 7 (K) 10 · 9 · 8

Correct Answer: K

For all integer values of a and b such that a > 0 and b<0, which of the following must also be an integer?

(F) 3a+b (G) 3a-b (H) 3ab (J) 3-a (K)

Correct Answer: G

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