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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.1, Problem 36E

**(a)**

To determine

To state: whether the inequality

Expert Solution

**Given information:**

An inequality as

**Formula used:**

For two numbers a and b

**Calculation:**

Consider the given inequality.

Now, it is known that

Now,

Further 1 is numerically greater than 0.

So,

Hence, the inequality

**(b)**

To determine

To state: whether the inequality

Expert Solution

**Given information:**

An inequality as

**Concept used:**

If two numbers are numerically equal to each other then one cannot be greater or less than the other number.

**Calculation:**

Consider the given inequality.

It is obvious that 8 is always strictly equal to 8.

So, 8 cannot be less than 8.

Hence, the inequality