Solving and Graphing Inequalities

The graph of x < 2

• an open circle at 2 and shading to the left

• an open circle at 2 and shading to the right
  

• a closed circle at 2 and shading to the left

• a closed circle at 2 and shading to the right

Tags

CCSS.6.EE.B.8

Which value of x makes the inequality 4x − 3 > 9 true?

• 1

• 2

• 3

• 4

Tags

CCSS.6.EE.B.5

When multiplying or dividing both sides of an inequality by a negative number, you must:

• Add 1 to each side

• Flip the inequality sign

• Square both sides

• Do nothing

Tags

CCSS.6.EE.B.8

Solve for x:

2x + 5 < 9

(a)  

Tags

CCSS.7.EE.B.4B

Solve for y:

3y − 4 ≥ 8

(a)  

Tags

CCSS.7.EE.B.4B

Tags

CCSS.7.EE.B.4B

To qualify for free shipping, your total purchase must be at least $40.
Write an inequality to represent the total cost c and describe one possible value that satisfies it.

Tags

CCSS.6.EE.B.8

You are saving money for a trip that costs $600. You already have $250, and you plan to save $50 per week.
Write and solve an inequality to find how many weeks w it will take until you have at least enough money for the trip.

Explain why multiplying both sides of an inequality by a negative number changes the direction of the inequality symbol. Use an example to support your explanation.

Tags

CCSS.6.EE.B.8

Compare and contrast the solution sets for equations and inequalities.
Why might an inequality have infinitely many solutions, while an equation often has just one?