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Test: Modulus Function - Question 1

Consider the linear congruence 6 x ≡ 3 (mod 9). Then the incongruent solutions modulo 9 of this congruence are:

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Test: Modulus Function - Question 3

If |x^{2} – 12x + 32| + |x^{2} – 9x + 20| = 0. Then find the value of x.

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Test: Modulus Function - Question 6

The number of real solutions of equation x^{2} - 3 |x| + 2 = 0 is:

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Test: Modulus Function - Question 9

Which one of the following is correct in respect of the function f: R → R^{+} defined as f(x) = |x + 1|?

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