Absolute+Value+Inequalities


 * Absolute Value Inequalities **

A) Definition
THIS SYMBOL: |x| denotes the absolute value of x, which is the number without its sign, whether it is a positive or negative. |+3| = 3 and |−3| = 3.

B) Links to useful website
http://tutorial.math.lamar.edu/Classes/Alg/SolveAbsValueIneq.aspx http://www.algebralab.org/lessons/lesson.aspx?file=algebra_absolutevalueinequalities.xml http://www.purplemath.com/modules/absineq.htm

C) Podcast (Example Problems)
Example 1: media type="file" key="2.mp4" width="421" height="421" (Jan Manuel)

Example 2: media type="file" key="podcast.mp4" width="439" height="439" (Sharon Cabjuan)

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 130%;">Example 3: <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 130%;">media type="file" key="Problem 1 10.1 Absolute Value Inequalities.mp4" width="436" height="429" <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 130%;">(Ethan Rabanal)

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 130%;">Example 4:

<span style="color: #6fc1f9; font-family: 'Comic Sans MS',cursive; font-size: 130%;">D) Online assessments
<span style="color: #6fc1f9; font-family: 'Comic Sans MS',cursive; font-size: 150%;">Multiple Choice Question #1 <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">Problem 1: Find all real solutions to the equation with absolute value <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">2|-2x - 2| - 3 = 13 <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">a: -5 b: 3 c: -5,3 d: no solutions e: 0 <span style="color: #6fc1f9; font-family: 'Comic Sans MS',cursive; font-size: 150%;">Multiple Choice Question #2 <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">Problem 2: Find all real solutions to the equation with absolute value. <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">|x - 1| = 2x + 1 <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">a: -2 b: -2, 0 c: -1 d: no solutions e: 0 <span style="color: #6fc1f9; font-family: 'Comic Sans MS',cursive; font-size: 150%;">Multiple Choice Question #3 <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">Problem 3: Find all real solutions to the equation with absolute value. <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">-2|x + 1| -2 = 4 <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">a: -4 b: no solutions c: 4 d: all real numbers e: 0 <span style="color: #6fc1f9; font-family: 'Comic Sans MS',cursive; font-size: 150%;">Word Problem #1 <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">Jacob is giving a party. 20 people showed up, but he only ordered 4 pizzas! Fortunately, Jacob hasn’t cut the pizzas yet. He is going to cut each pizza into <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 160%;">"n" <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 140%;"> slices, and he needs to make sure there are enough slices for everyone at the party to get at least one. Write an inequality or set that describes what <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 160%;">"n" <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 140%;"> has to be.