2. Playing with Real Numbers

Question 1

Pre-Calculus for Dummies

What is an inequality?

Answer 1

Question 2

Pre-Calculus for Dummies

What is the rule concerning inequalities and negative numbers?

Answer 2

Question 3

Pre-Calculus for Dummies

What happens when an inequality has an absolute value?

Answer 3

Question 4

Pre-Calculus for Dummies

What are two caveats concerning solutions when dealing with absolute numbers?

Answer 4

Question 5

Pre-Calculus for Dummies

What is a radical?

Answer 5

Question 6

Pre-Calculus for Dummies

What is the answer to x^2 = 4 ?

Answer 6

Question 7

Pre-Calculus for Dummies

Can you take a square root or cube root of a negative number?

Answer 7

Question 8

Pre-Calculus for Dummies

What is the radical of x^(m/n) ?

Answer 8

Question 9

Pre-Calculus for Dummies

What is rationalizing the denominator?

Answer 9

Question 10

Pre-Calculus for Dummies

What is normally the best way to rationalize a square root?

Answer 10

Question 11

Pre-Calculus for Dummies

What is the big trap to be avoided when rationalizing a square root?

Answer 11

Question 12

Pre-Calculus for Dummies

How would rationalize a cube root?

Answer 12