Inequalities and Absolute Value

What is the reason that absolute value is always written as a positive?

• Absolute value is talking about numbers so it must be positive.

• Absolute value does not always have to be positive.

• Absolute value is like a clock it has only positive numbers.

• Absolute value is talking about distance, distance is always measured by positive numbers.

Translate the verbal phrase into an inequality: An Iguana needs to live in a warm environment. The temperature in a pet Iguana's cage should range from 70 degrees to 95 degrees.

• 70 < x < 95

• x > 95 or x < 70

• x < 70 or x > 95

• 95 < x < 70

What inequality is graphed?

• -3 > x > 2

• -3 < x > 2

• x > 2 or x ≤ -3

• x > 2 or x < -3

−2|−2r − 4| = -12

• {5,1}

• {-5, -1}

• {-5, 1}

• No Solution

Solve:
2|5x-1|+3=9

• x=4/5

• x=7/5 and x=-1

• x=7/5

• x=4/5 and x=-2/5

3(2x - 1) - x ≥  12

• x ≤ -3

• x ≥ -3

• x ≤ 3

• x ≥ 3

Solve and graph:

• A

• B

• C

• D

Solve:

• A

• B

• C

• D

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5

• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x < 5

Which is a solution of
5(v + 3) - 10v > -10

• v < 5

• V > 5

• V > -5

• v < -5