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Let A = {x : x is an integer and -3 < x ≤ 4}. Find n(A).

  • A.6
  • B.7
  • C.8
  • D.Infinite

Answer: B

The condition -3 < x ≤ 4 means x can be any integer strictly greater than -3 and less than or equal to 4.

The integers satisfying this condition are: -2, -1, 0, 1, 2, 3, 4.

The set A = {-2, -1, 0, 1, 2, 3, 4}.

The number of elements, n(A), is 7.

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