What is the solution of an Absolute Value Inequality
Consider the inequality equation: |x - 2| = 5
What are the solutions to that equation?
The following examines |x + a| = b in terms of inequalities instead of just an equation. What is the theoretical difference?
Move the points to change the inequality. Check off the appropriate inequality sign.
1. Create an absolute value inequality where the solution is an intersection.
2. Create an absolute value inequality where the solution is a union.
3. Create an absolute value inequality where the solution is all real numbers. What do you notice about the right side of the inequality?
4. What kind of inequality do you think would have no solution?
Consider the inequality equation: |x - 2| = 5
What are the solutions to that equation?
The following examines |x + a| = b in terms of inequalities instead of just an equation. What is the theoretical difference?
Move the points to change the inequality. Check off the appropriate inequality sign.
1. Create an absolute value inequality where the solution is an intersection.
2. Create an absolute value inequality where the solution is a union.
3. Create an absolute value inequality where the solution is all real numbers. What do you notice about the right side of the inequality?
4. What kind of inequality do you think would have no solution?