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

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