Compound inequalities

When graphing an inequality, you use an open dot when you use which symbol?

• <, >
• ≤, ≥ 

Tags

CCSS.6.EE.B.8

When you graph an inequality, you used a closed dot when you use which symbols?

• ≤, ≥ 
• <, >

Tags

CCSS.6.EE.B.8

-2 < x - 9 < 3

• x < 12

• 7 < x

• 7 < x < 12

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve and graph:

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.12

Consider the compound inequality $x\le-1$ and  $x\ge6$ . What is its solution set?

• no solution

• all real numbers

•  $x\le-1$  

•  $x\ge6$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

x + 2 < -4 or -5x < -15

• -6 < x < 3

• x < -3 and x > 6

• x < -6 or x > 3

• No Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

2 < 3x - 12 < 5

• $\frac{14}{3}\ <\ x\ <\ \frac{17}{3}$

• $\frac{3}{14}\ <\ x\ <\ \frac{3}{17}$
  

• $4\ <\ x\ <3$
  

• $42\ <\ x\ <\ 51$
  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve:

3x + 2 < -4 or 4x + 4 > 28

• x < -2 or x > 6

• x < 2 or x > 6

• x < -2 and x > 6

• x < 2 and x > 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

 $-3\le\frac{v}{3}<3$  

•  $-9\le v<9$  

•  $-8\le v\le4$  

•  $v\ge-8$  

•  $v\ge-9$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

 $6-6x\ge66$  or  $9-x<12$  

•  $x>8$  

•  $x\le-10$  or  $x>-3$  

•  $x\le7$   or  $x>8$  

•  $x<-1$   or   $x\ge0$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3