Solving Inequalities Special Cases

Does the sign need to flip when solving?
-2x ≥ 22

• YES
• NO

Tags

CCSS.6.EE.B.8

 $6x+4<6x+10$  

• all real numbers

• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

 $5\left(x+2\right)\le5x+30$  

• all real numbers

• no solution 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

 $2x-3>2x+9$  

• all real numbers

• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

-2(x+2) < 14

• x < - 5
• x > -5
• x < -9
• x > -9

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve:

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

• x < 24

• x > 12

• x < 12

• x > 24

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve:

7(x + 3) < 5x + 13

• x > -4

• x < 17

• x < -4

• x > -17

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

-2(5 + 6n) < 6(8 − 2n)

• no solution
• infinite solution
• x < 0
• x > 0

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

3(x - 3) ≤ 2(x + 2)

• x ≤ -5
• x ≥ 5
• x ≥ 13
• x ≤ 13

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

A taxi cab costs $1.75 and $0.75 for each additional mile. You have $20 to spend on you ride. Which inequality could be solved to find how many miles you can travel, if m is the number of additional miles?

• 1.75n + 0.75 ≥ 20
• 1.75n + 0.75 ≤ 20
• 0.75n + 1.75 ≥ 20
• 0.75n + 1.75 ≤ 20

Tags

CCSS.7.EE.B.4B