a.
To write: an inequality relating A and B .
a.
Answer to Problem 35E
Explanation of Solution
Consider the given number line:
Clearly, A is greater than B .
So, an inequality relating A and B is
b.
To write: an inequality relating
b.
Answer to Problem 35E
Explanation of Solution
Consider the given number line:
Clearly,
So, an inequality relating
c.
To explain: why inequality sign must be reversed when dividing or multiplying each side of inequality by same negative number.
c.
Answer to Problem 35E
As numbers moves away from 0, their absolute value increases.
Explanation of Solution
From part (a),
From part (b),
It can be observed that on multiplying by -1 on each side, the signs of inequality are reversed.
It can be said that as numbers moves away from 0, their absolute value increases.
Chapter 2 Solutions
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