Absolute Inequalities and Number Lines

• A number line with a shaded region to the left of -6 and to the right of 6.

• A number line with a shaded region between -6 and 6.

• A number line with a shaded region to the left of 6.

• A number line with a single point at x = 6.

• A

• B

• C

• D

Match this number line to its correct solution.

• x > -2

• x < -2

• x > -2

• x < -2

What does this symbol around the -6 mean?

• Parentheses

• Absolute Value

• It is the number 1

• Opposite

Evaluate:

|5|

Use the number line if you need to.

• 5

• -5

• 0

• 10

What is the distance between 5 and -3 on the number line?

(Just write the number as your answer.)

What is wrong with this number line?

• The spacing is not even.

• Positive numbers go to the left of zero and negative numbers are to the right of zero.

• Zero should be all the way to the left on the number line.

• The negative numbers are in the wrong order.

What is the definition of absolute value?

• The opposite of a number.

• That number plus zero.

• The distance of a number to zero.

• That number plus its opposite.

• Any point on one of the dashed lines is a solution to the system of inequalities.

• The point where the dashed lines intersect is the solution to the system of inequalities.

• Any point that is in the shaded region for at least one inequality is a solution to the system of inequalities.

• Any point in the region where the shadings overlap is a solution to the system of inequalities.