Practice Objectives
- Demonstrate the ability to solve a compound inequality with "and"
- Demonstrate the ability to solve a compound inequality with "or"
- Demonstrate the ability to solve an absolute value inequality
Practice Solving Absolute Value Inequalities
Instructions:
Answer 7/10 questions correctly to pass.
Solve each inequality.
Problem:
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The correct answer was: 0
Solving Absolute Value Inequalities:
- let k represent a positive real number (k > 0)
- To solve |ax + b| > k, solve the following compound inequality:
- ax + b > k or ax + b < -k
- To solve |ax + b| < k, solve the following three-part inequality:
- -k < ax + b < k
- Special Cases of Absolute Value:
- The absolute value of an expression can't be negative
- |a| ≥ 0, for all real numbers a
- The absolute value of an expression can only be 0 if the expression is equal to 0
- |ax + b| = 0, solve the equation ax + b = 0
- The absolute value of an expression can't be negative
Step-by-Step:
You Have Missed 4 Questions...
Your answer should be a number!
$$a < x < b$$
$$x$$
$$x < a$$ $$\text{or}$$ $$x > b$$
$$x$$
$$\text{or}$$
$$x$$
$$x = a$$
$$x = $$
Current Score: 0%
Correct Answers: 0 of 7
Wrong Answers: 0 of 3
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