Simple Inequalities
Multi-Step Inequalities
Compound Inequalities
Inequalities Info
Absolute Value Inequalities
100
Solve x - 6 > -3
What is x > 3
100
Solve 4t + 9 > 21
What is t > 3
100
Graph -3 < x < 8
What is open circles, connected in the middle
100

In interval notation, infinity and negative infinity always use ______

Parenthesis

100
Solve |x + 3| < 5
What is x < 2 AND x > -8
200
Solve -18 + m ≤ 5
What is m ≤ 23
200
Solve -6c - 7 ≤ 17
What is c ≥ -4
200
Graph x ≤ -5 or x ≥ 1
What is closed circles, pointing away from each other
200

<= and >= signs use ____ circles, while < and > signs use ____ circles.

Closed, open

200
Solve |w + 1| > 11
What is w > 10 OR w < -12
300
Solve z - 12 ≤ -4
What is z ≤ 8
300
Solve 2(n - 8) < 16 + 2n
What is all real numbers
300
Solve -3 ≤ x - 4 ≤ -1
What is 1 ≤ x ≤ 3
300

With an inequality, when you mutliply or divide by a negative, you do what?

Flip the inequality sign.

300
Solve |2x - 3| < 5
What is x < 4 AND x > -1
400
Solve -2x > -18
What is x < 9
400
Solve 4 - y ≤ 5 - 2y + 1
What is y ≤ 2
400
Solve 3t + 2 < -7 or 4t + 5 > 1
What is t < -3 or t > -1
400

What is the first thing you do when solving absolute value inequalities?

Isolate the absolute value inequality.

400
Solve |2v - 1| ≤ 9
What is v ≤ 5 AND v ≥ -4
500
Solve x/-6 ≤ 4
What is x ≥ -24
500
Solve 4(3x - 1) > 2(x + 3)
What is x > 1
500
Solve -9 < 3m + 6 < 18
What is -5 < m < 4
500

Explain what you do when you split an absolute value inequality into two inequalities.

Keep the first inequality the exact same, and for the second inequality, switch the inequality sign and the number sign.

500
Solve |4w + 1| > 11
What is w > 2.5 OR w < -3
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