
INTRODUCTORY EXERCISES - Absolute Value and Distance
(1) Solve the following equations.
(a) |3x + 5| = 2 (b) 5|x - 4| = 0.01
(2) Rewrite each of the following expressions without using the absolute value sign | |.
(a) |2 + |3|(-2) + |4-7|| (b) |- 4| (c) |
- 2| (d) |1 - 18.125| - |-19.31|
(3) Find the distance between the given numbers.
(a) -x and x (b) x and 3 (c) (x + 5) and (x + 2)
- 4|
(c) |
- 2|
(d) |1 - 18.125| - |-19.31|