Activity 3.3: Two-Step Inequalities

Activity 3.3: Two-Step Inequalities

EQ: How can you solve and graph Two-Step Inequalities using inverse operations?

Multiple Choice

Do you need to flip the inequality symbol?

x - 4 < 10

• No

• Single Flip: x is on the Right

• Single flip: Multiply or Divide by a Negative Number

• Double Flip: x is on the Right AND Multiply or Divide by a Negative Number

Multiple Choice

Do you need to flip the inequality symbol?
-4x > 36

• No 

• Single Flip: x is on the Right

• Single flip: Multiply or Divide by a Negative Number

• Double Flip: x is on the Right AND Multiply or Divide by a Negative Number

Multiple Choice

Do you need to flip the inequality symbol?
15 < 18 + x 

• No 

• Single Flip: x is on the Right

• Single flip: Multiply or Divide by a Negative Number

• Double Flip: x is on the Right AND Multiply or Divide by a Negative Number

Multiple Choice

Do you need to flip the inequality symbol? $$12\ge\frac{x}{-2}$$  

• No 

• Single Flip: x is on the Right

• Single flip: Multiply or Divide by a Negative Number

• Double Flip: x is on the Right AND Multiply or Divide by a Negative Number

Multiple Choice

r - 14 ≥ 17

• r ≥ 3

• r ≥ -31

• r ≥ 31

• r ≥ -3

Multiple Choice

26 < f + 32

• f > -6

• f < -6

• f < 6

• f < 55

Multiple Choice

-8x < -48

• x < -6

• x > -6

• x < 6

• x > 6

Multiple Choice

$$8<\frac{x}{-12}$$  

• x < -96

• x < 20

• x = 6

• x > 96

Multiple Choice

9h > -63

• h < 7

• h > 7

• h < -7

• h > -7

Multiple Choice

$$\frac{h}{-3}\le-3$$  

• h ≥ -9

• h ≥ 9

• h ≤ 9

• h ≤ 9

Multiple Choice

4x + 14 ≤ 54

• x ≥ - 10

• x ≤ -10

• x ≥ 10

• x ≤ 10

Multiple Choice

-9a - 1 < 26

• a < -3

• a < 3

• a > -3

• a > 3

Multiple Choice

-12x + 1 > -47

• x > 4

• x < 4

• x < -4

• x > -4

Multiple Choice

-9 ≥ 7k – 2

• k ≤ -1

• k ≤ 1

• k ≥ 1

• k ≥ -1

Multiple Choice

$$\frac{x}{3}-2<8$$  

• x > 30 

• x < 30

• x < 18

• x > 18

Multiple Choice

$$\frac{x}{-4}+2>7$$  

• x < 20

• x > -20

• x > 20

• x < -20

Multiple Choice

$$20<\frac{x}{5}+13$$  

• x > 7

• x > 35

• x < 35

• x > 165

Multiple Choice

$$10<15\ -\frac{w}{4}$$  

• w < 20

• w < -20

• w < 100

• w > -100

Multiple Choice

$$1<\frac{x+3}{2}$$  

• x < -1

• x > 5

• x > -1

• x < -5