Exploring Absolute Value Inequalities

What is the term used for two inequalities combined together?

• Compound inequalities

• Complex inequalities

• Simple inequalities

• Double inequalities

When splitting an absolute value inequality, what must you do to the inequality sign when dealing with the negative version?

• Double it

• Flip it

• Remove it

• Keep it the same

If the absolute value of a is less than b, which word should be used between the two resulting inequalities?

• And

• Or

• Nor

• But

In the inequality |x + 4| > 10, what word should be used between the two resulting inequalities?

• Or

• But

• And

• Nor

How do you solve the inequality |x + 4| > 10?

• x + 4 < 10 and x + 4 > -10

• x + 4 > 10 or x + 4 < -10

• x + 4 < 10 or x + 4 > -10

• x + 4 > 10 and x + 4 < -10

What is the correct way to write the solution for the inequality |x + 2| < 6?

• -6 < x < 6

• -4 < x < 4

• -6 < x < 4

• -4 < x < 8

When graphing the solution to an 'or' inequality, how should the graph look?

• A single continuous line

• Two separate pieces

• A shaded region between two points

• A single point

In the context of absolute value inequalities, what does 'less Vande' refer to?

• An 'or' inequality

• An 'and' inequality

• A 'nor' inequality

• A 'but' inequality

If a company has a 5-gram margin of error for a 213-gram product, what is the range of acceptable weights?

• 208 to 218 grams

• 210 to 216 grams

• 205 to 215 grams

• 200 to 220 grams

What is the key step when solving absolute value inequalities involving real-world problems?

• Ignoring the absolute value

• Directly adding or subtracting the margin of error

• Multiplying the values

• Dividing the values