1.5 Absolute value equations and inequalities

Question 1

Absolute value

Answer 1

of a number is its distance from zero on the number line and distance is nonnegative. So the absolute value of a negative number such as -5 is opposite, -(-5). for x

Question 2

Extraneous solution

Answer 2

is a solutionof an equation derived from an original equation that is not a solution of the original equation.

Question 3

Tolerance

Answer 3

equals one half of the difference between the maximum and the minimum values.