Question 8

Read the following statements carefully and choose the correct option.

Statement I - For all rational numbers $$x$$ and $$y$$, $$x - y = y - x$$.

Statement II - For all rational numbers $$x$$, $$y$$ and $$z$$, $$x + (y \times z) = (x + y) \times (x + z)$$.

Subtraction is not commutative; for example $$5 - 2 = 3$$ but $$2 - 5 = -3$$, so Statement I is false. Addition does not distribute over multiplication; for example with $$x = 1, y = 2, z = 3$$, $$1 + 6 = 7$$ but $$3 \times 4 = 12$$, so Statement II is false.

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