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Set P = {a, b, c, d, e, f, g} Set Q = {a, b, c, d, e, f} a, b, c, d, e, f, and g are distinct integers

Quantity A

Quantity B

Range of Set P

Range of Set Q

A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.

Set P = {a, b, c, d, e, f, g} Set Q = {a, b, c, d, e, f} a, b, c, d, e, f, and g are distinct integers

Quantity A

Quantity B

Range of Set P

Range of Set Q

Here are two scenarios that both satisfy the given information.

SCENARIO #1: a = 1, b = 3, c = 5, d = 7, e = 9, f = 11 and g = 13 So, set P = {1, 3, 5, 7, 9, 11, 13} Set Q = {1, 3, 5, 7, 9, 11} We get: Quantity A: Range of Set P = 13 - 1 = 12 Quantity B: Range of Set Q = 11 - 1 = 10 In this case, quantity A is greater than quantity B

SCENARIO #2: a = 1, b = 3, c = 5, d = 7, e = 9, f = 11 and g = 10 So, set P = {1, 3, 5, 7, 9, 10, 11} Set Q = {1, 3, 5, 7, 9, 11} We get: Quantity A: Range of Set P = 11 - 1 = 10 Quantity B: Range of Set Q = 11 - 1 = 10 In this case, quantity A EQUALS quantity B