Two-Step Inequalities

5x - 7 ≥ 8

• x ≥ 3
• x  ≤ 3
• x = 3
• x ≠ 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

9x - 3 > 6

• x > 1
• x < 1
• x ≥ 1
• x = 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve. 4x - 4 > 8

• x > 6

• x > 48

• x > 1

• x > 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve. 3x + 2 > 14

• x > 4

• x > 36

• x > 5 1/3

• x > 48

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

-2x + 7 < 19

• x < 6
• x < -6
• x > 6
• x > -6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

-4x + 14 ≤ 54

• x ≥ - 10
• x ≤ -10
• x ≥ 10
• x ≤ 10

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for k. 

7k – 2 ≥ -9

• k ≤ -1
• k≤1
• k≥1
• k ≥ -1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve for t.

6t + 4 ≤ -2

• t ≤ -1 
• t ≤ 1
• t=1
• 1=t

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Do I need to flip my sign?
-3x  ≥ 12

• Yes, because I'll be dividing by a negative number
• No, because you never flip the sign. 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve and graph the inequality.
7n - 1 > 76

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3