Solving Absolute Value Inequalities: More Examples (2.14.5)

Question 1

• The best way to work with absolute value inequalities is to think through what each one means and graph out the range of
solutions on a number line.

Answer 1

• The best way to work with absolute value inequalities is to think through what each one means and graph out the range of
solutions on a number line.

Question 2

• Remember: When an equation offers an absolute value expression in relationship with other terms in addition to the
inequality, isolate the absolute value before setting up your solution possibilities.

Answer 2

• Remember: When an equation offers an absolute value expression in relationship with other terms in addition to the
inequality, isolate the absolute value before setting up your solution possibilities.

Question 3

• Any absolute value will be positive or equal to zero.

Answer 3

• Any absolute value will be positive or equal to zero.

Question 4

First add +4 to both sides to isolate the absolute value.
Graphically show what the possibilities are. In this case,
because you are given a “

Answer 4

First add +4 to both sides to isolate the absolute value.
Graphically show what the possibilities are. In this case,
because you are given a “