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First instinct is to think that 1 6 ≤ x 2 ≤ 4 9 . But the numbers lying in − 4 < x < 4 will not satisfy the assumed range. Since x ∈ R , the minimum value of x 2 will be 0 , and hence the range will be 0 ≤ x 2 ≤ 4 9 . Thus the answer is 0 + 4 9 = 4 9