Given that $a, b,$ and $c$ are three non-zero integers such that: $a \times b

Question

Given that $a, b,$ and $c$ are three non-zero integers such that: $a \times b <0$ $b \div c >0$ $a<0<b$ Determine whether each expression is always positive, always negative, or has a sign that is not fixed. If its sign is not fixed, state whether it can also be zero and justify your answer. $a \times c$ $b-a$ $-b-\frac{a}{c}$

Accepted Answer

(a) Always negative. (b) Always positive. (c) Positive, negative or zero, depending on the values.

Real Numbers - Reasoning about Signs of Expressions

Real Numbers - Reasoning about Signs of Expressions

Solution:

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