Linear inequalities (one variable)

Jake plans to board his dog while he is away on vacation. Boarding house A charges $90 plus $5 per day. Boarding house B charges $100 plus $4 per day. For how many days must Jake board his dog for A to be less expensive than B?

Solve the inequality

90 + 5x < 100 + 4x

• d ≥ 10

• d ≤ 10

• d > 10

• d < 10

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

• x ≥ 4

• x ≤ 4

• x ≥ -4

• x ≤ -4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve:

9y − 5 > -5 + 9y

• y > -5

• y < -5

• infinitely many solutions

• no solutions

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

3x + 1 - 2x < -1

• x < 0

• x < -2

• x < 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

The solution to the inequality 3(x-2) + 7 > 2(x+5) is

• x > 9

• x > 0

• x > 11

• x < 9

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

• Add 2x to both sides.

• Subtract 2x from both sides.

• Subtract 3y from both sides.

• Divide both sides by 3.

• Divide both sides by 2x.

Tags

CCSS.6.EE.B.8

Let's kick it up another notch. Use what you know about distributing, combining like terms and solving two-step inequalities when solving for x.

7(x + 3) - 5x < 13

• x>-4

• x < 17

• x<-4

• x > -17

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Mathematical Equivalence

ON

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

3x + 5 < 5x - 9

• No answer

• 7 < x

• x > 7

• 7 > x

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3