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Determine the truth value of each of these statements if the domain consists of all real numbers

1 Answer

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1) 2 + 2 = 5
False

2) √4 = 2
True

3) x + 4 = 8
True for x = 4 and false for any other value of x

4) y^2 = -9
False, since there is no real number whose square is negative

5) |x| = x
True for all positive values of x, but false for negative values of x

6) sin(x) + cos(x) = 1
False for most values of x, but true for x = π/4 and x = 5π/4, as well as any other angle that differs from these by an integer multiple of 2π
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