Inequality Rules

10 < -2x

• Symbol doesn't flip

• Flips - Divide by a negative

• Flips - variable on the "wrong" side

• Double Flip - Negative variable on the "wrong" side

21 > -3x

• Symbol doesn't flip

• Flips - Divide by a negative

• Flips - variable on the "wrong" side

• Double Flip - Negative variable on the "wrong" side

2x > 4

• Symbol doesn't flip

• Flips - Divide by a negative

• Flips - variable on the "wrong" side

• Double Flip - Negative variable on the "wrong" side

9 < x + 2

• Symbol doesn't flip

• Flips - Divide by a negative

• Flips - variable on the "wrong" side

• Double Flip - Negative variable on the "wrong" side

What is the rule for inequalities?

• If you add or subtract by a negative - flip the sign.

• If you multiply or subtract by a negative - flip the sign.

• Never flip the sign, ever.

• If you multiply or divide by a negative - flip the sign.

Solve for x

• x > 15

• x < 15

• x > 1.7

• x < 1.7

• f < 0.5

• f > 0.5

• f < 1.2

• f > 1.2

Solve for x

• x > 8

• x < 9

• x > 10

• x < 7

m ≤ 15

• m ≤ 15

• m ≥ 15

• m ≤ 8

• m ≥ 8

4x < -12

• Symbol doesn't flip

• Flips - Divide by a negative

• Flips - variable on the "wrong" side

• Double Flip - Negative variable on the "wrong" side