Activity 3.4: Multi-Step Inequalities

Activity 3.4: Multi-Step Inequalities

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

Multiple Choice

2x - 3 + 4x < 27

• x > 12

• x < 4

• x < 5

• x >5

Multiple Choice

3 < -5n + 2n

• n < 1
• n > 1
• n < -1
• n > -1

Multiple Choice

$$3\left(5m\ +1\right)\ge78$$  

• $$m\ge-23$$  

• $$m\le-23$$  

• $$m\ge5$$  

• $$m\le-5$$  

Multiple Choice

$$60\le-5\left(5x\ +3\right)$$  

• $$x\ge-3$$  

• $$x\le-2$$  

• $$x\le-21$$  

• $$x\le-3$$  

Multiple Choice

-3 − 6(4x + 6) > -111

• x > 3
• x < 3
• x < -3
• x > -3

Multiple Choice

-2x + 3(-4x + 6) ≤116

• x ≤ -7

• x ≥ 29

• x ≥ -7

• x ≤ 29

Multiple Choice

$$\frac{6x+5x}{11}<2$$  

• $$x<-23$$  

• $$x<2$$  

• $$x>-23$$  

• $$x>22$$  

Multiple Choice

$$\frac{-4x-7}{7}\ge3$$  

• x ≤ 7

• x ≤ -7

• x ≤ 8

• x ≤ -8

Multiple Choice

6x + 10 > 5x - 12

• x > 2

• x < 2

• x < -22

• x > -22

Multiple Choice

$$-2n-3<2n+9$$  

• $$n<-3$$  

• $$n<3$$  

• $$n>-3$$  

• $$n>3$$  

Multiple Choice

3(x - 2) < 2(x + 9)

• x<24
• x>12
• x<12
• x>24

Multiple Choice

4(2a + 3) < 3(a - 1)

• a<-3
• a>-3
• a<3
• a>3