Let P and Q be two nonempty sets of real numbers, and define the set P + q = {a + B | a ∈ P, B ∈ Q}. If P = {0, 2, 5}, q = {1, 2, 6}, then the number of elements in P + Q is () A. 6B. 7C. 8D. 9

Let P and Q be two nonempty sets of real numbers, and define the set P + q = {a + B | a ∈ P, B ∈ Q}. If P = {0, 2, 5}, q = {1, 2, 6}, then the number of elements in P + Q is () A. 6B. 7C. 8D. 9

∵ P = {0, 2, 5}, q = {1, 2, 6}, P + q = {a + B | a ∈ P, B ∈ Q} ∵ when a = 0, B ∈ Q, P + q = {1, 2, 6} when a = 2, B ∈ Q, P + q = {3, 4, 8} when a = 5, B ∈ Q, P + q = {6, 7, 11} P + q = {1, 2, 3, 4, 6, 7, 8, 11} so choose C

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