Compound Inequalities

-8<2(x+4) or -3x+4>x-4

• No solutions
• x<-8 or x<2
•  x>-8 or x<2
• x<-8 and x<2

Solve: 
-4x + 1 ≤ 21 and 5x + 2 < 22

• x > -5 or x ≤ 4
• x ≥ -5 or x < 4
• x > -5 and x ≤ 4
• x ≥ -5 and x < 4

Solve:  
3x + 2 < -4  or  4x + 4 > 24

• x < -2  or  x > 5 
• x < 2  or  x > 5
• x < -2  and  x > 5 
• x < 2  and  x > 5

Tags

CCSS.7.EE.B.4A

Solve: 
3x + 2 < -7  or  -4x + 5 < 1

• x < -3  and  x < 1
• x < -3  and  x > 1
• x < -3  or  x < 1
• x < -3  or  x > 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve:

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

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

When graphing "AND" inequalites, shading looks like___

• Shading that always connects the 2 dots.
• Shading that always points away from each dot
• 2 shaded arrows pointing in same direction(both left)
• 2 shaded arrows pointing in same direction (both right)

Tags

CCSS.HSA.REI.D.12

When graphing the solutions to "OR" inequalities, The shading looks like___

• Shading that connects the 2 dots
• Shading that points away and never crosses.
• Shading that points toward each other and ALWAYS crosses
• Shading that points opposite, but sometimes crosses.

Tags

CCSS.HSA.REI.D.12

Solve:  
3x + 2 < -4  or  4x + 4 > 24

• x < -2  or  x > 5 
• x < 2  or  x > 5
• x < -2  and  x > 5 
• x < 2  and  x > 5

Solve and graph:

• A
• B
• C
• D