Functions

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

The operation # is defined in the following way for any two numbers:

p # q = (P - q) times (q - p)

If p # q = -1 then which of the following are true:

I. p could equal 5 and q could equal 4

II. p could equal 4 and q could equal 5

III. p could equal 1 and q could equal -1

IV. p could equal -1 and q could equal 1

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p # q = (P - q) times (q - p)

I. p could equal 5 and q could equal 4

5 # 4 = (5 - 4)(4 - 5) = 1 × -1 = -1 True

II. p could equal 4 and q could equal 5

4 # 5 = (4 - 5)(5 - 4) = -1 × 1 = -1 True

III. p could equal 1 and q could equal -1

1 # -1 = (1 - (-1))(-1 - 1) = (1 + 1)(-1 -1) = 2 × -2 = -4 False

IV. p could equal -1 and q could equal 1

-1 # 1 = (-1 - 1)(1 - (-1)) = (-2)(2) = -4 False