2.5 Compound Inequalities_AlgA

Solve and graph:

• A
• B
• C
• D

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

CCSS.HSA.CED.A.1

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3
• -1 < x < 3
• 1 < x < 3
• 1 ≤ x ≤ 3

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

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

• -6 < x < 3

• x < -3 and x > 6

• x < -6 or x > 3

• No Solution

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:

0 < x + 7 < 9

• -7<x and x<2

• -7<x or x<2

• -7>x and x>2

• -7>x or x>2

When graphing "AND" inequalities, the shading...

• is between 2 points (graphs together)

• goes in opposite directions (graphs apart)

• goes to the left

• goes to the right

What inequality is graphed?

• x > 2 and x < 4

• 2 ≤ x ≤ 4

• x > 2 or x < 4

• x ≥ 2 or x ≤ 4

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

CCSS.HSA.CED.A.3

What inequality is graphed? 

• x > 2 and x ≤ -3
• x > 2 and x < -3
• x > 2 or x ≤ -3
• x > 2 or x < -3

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

Solve: 3 ≤ x + 1 ≤ 5

• 2 ≤ x ≤ 4

• 4 ≤ x ≤ 6

• -3 ≤ x ≤ -5

• 3 ≤ x ≤ 5

What is another way you could write

x > 0 and x < 6

• 0 < x < 6

• 0 > x > 6

• 0 < x > 6

• 0 > x < 6