Solving Two-Step Inequalities and Graphing

Let's kick it up a notch. Use what you know about distributing and solving two-step inequalities when solving for n.

6(n + 2) < -72

• n < -14

• n < 35/3

• n < -10

• ∞

Solve for x.

-4x + 14 ≤ 54

• x ≥ - 10

• x ≤ -10

• x ≥ 10

• x ≤ 10

Solve for y.

11 > -3y + 2

• -3 > y

• -3 < y

• 3 > y

• 3 < y

Solve for n.

6n + 4 > -26

• n > -6

• n > -5

• n > 8

• n > -4

• 14≥u

• 14≤u

• u≤14

• u ≤ -14

Which graph matches the solution ?

• A

• B

• C

• D

Which graph matches the solution?7n - 1 > 76

• A

• B

• C

• D

When do we switch the inequality symbol?

• when multiplying or dividing by a NEGATIVE

• when adding and subtracting a NEGATIVE

• we never switch the inequality

• When there is a negative in the problem

Solve for f.

23 < f + 12

• f > 11

• f > 35

• f < 35

• f < 11

When graphing an inequality, you use an open circle when you use which symbols?

• <, >

• ≤, ≥