University:
Highline College
Course:
MATHP 141 | Precalculus I Plus Extra Support
Academic year:

2022
Views:

379

Pages:

2
Author:

Heidy Larsen

Workshop #4 1. (a) Find two numbers which are 2 units away from zero. (b) Find both solutions to the absolute value equation |x| = 2. (c) Find two numbers which are three units away from 7. (d) Find the solutions to the absolute value equation |x − 7| = 3 (e) Write an absolute value equation that has solutions which are 4 units away from 2. 2. Which values of x, if any, make the following statement true (a) |x| = 3 (b) |x| = −1 (c) |x| = −x (b) |2x − 2| = 10 (c) |3x − 1| = 5 3. Solve (a) 19 = |3x| − 2 4. Consider the following absolute values inequalities and match them with the description of their solution sets. It will help to graph solutions of the absolute value inequalities. |x| ≤ 3 All numbers which are more than three units away from zero. |x| > 3 All numbers which are less than three units away from 1 |x + 1| > 3 All numbers that are no more than three units away from zero. |x − 1| < 3 All numbers that are more than three units away from −1 5. Using what you learned in the last problem do the following: (a) Write an absolute value inequality whose solutions are all numbers which are no more than 7 units away from 2. (b) Write a full sentence which describes the solutions to |x + 3| > 1 6. Using what you learned from last two problems, give an absolute value equation with the following graphs as the solutions. (a) −3 −2 −1 0 1 2 3 (b) −3 −2 −1 0 1 2 3 (c) −3 −2 −1 0 1 2 3 (d) 6 7 8 9 10 11 12 7. Solve, write your solutions in interval notation and as a graph. 1 (a) |x| − 5 > 3 (d) x − 2 ≤ 3 2 (b) |x − 2| < 5 1 x − 9 < 1 (e) (c) 2 · |−x + 2| ≥ 7 7