Solving Inequalities

When does the inequality sign change?

• multiplying by a negative

• dividing by any number

• multiplying by any number

• dividing by a negative

• adding by a negative

Solve the inequality 3 − 2x ≥ 15

• x > 6

• x ≥ -6

• x ≤ -6

• x ≤ -9

• x ≥ -9

Solve −1 < 2x + 3 < 6

• -4 < x < 3

• -4 < 2x < 3

• 1 < x < 9/2

• -2 < x < 3/2

Solve −2(x + 4) > 1 − 5x

• x > 3

• x > -1

• x < 3

• x ≥ 3

Evaluate 3x – 8 + 2x < 12

• x < 20

• x < 4

• x > 4

• x < 8

Evaluate 6x – 8 > x + 7

• x< 3

• x > -1/5

• x > 3

• x > 5

Evaluate 2(8 – p) ≤ 3(p + 7)

• p ≤ -1

• p ≥ 7

• p ≥ 4

• p ≥ -1

Which inequality best represents this graph?

• x > 10

• x ≥ 10

• x < 10

• x ≤ 10

Which Inequality best represents this graph?

• n > 11

• n < 11

• n ≤ 11

• n ≥ 11

Which inequality best represents this graph?

• y ≥ -2

• y ≤ -2

• y < -2

• y > -2