Solving Inequalities and Compound Inequalities

You flip an inequality symbol when you...

• subtract
• multiply and divide only
• multiple by a negative number
• multiple or divide by a negative number

Tags

CCSS.6.EE.B.8

Which situation can be represented by the inequality
15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

Tags

CCSS.7.EE.B.4B

Pheobe has $500 in a savings account at the beginning of the summer. She wants to have at least $200 in account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Write an inequality that represents Pheobe's situation.

• 200+25w ≥ 500
• 500-25w ≥ 200
• 500+25w ≤ 200
• 200-25w ≤ 500

Tags

CCSS.7.EE.B.4B

Solve the inequality:
 -4a < 2(a + 12). 

• a > -4
• a < 4
• a > 12
• a < -4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Match the graph with its inequality.

• a > 11
• a < 11
• a ≥ 11
• a ≤ 11

Tags

CCSS.6.EE.B.8

-8b - 8 > 56

• b > 6

• b < -8

• b > -8

• b > 7/2

Tags

CCSS.7.EE.B.4B

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

• x < 21

• x > -33

• no solution

• all real numbers

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Would -5 be a solution to the inequality -6 < 3x + 9 < 21? (would -5 appear in the shaded region when graphed)

• yes

• no

Tags

CCSS.6.EE.B.5

Is 3 be a solution to the inequality 6 < x + 5 ≤ 11 (would 3 be in the shaded region when graphed)

• Yes

• No

Tags

CCSS.6.EE.B.5

x + 8 < 3 or - 8x < -40 

• x > -5 or x < 5
• x < -5 and x > 5
• x < -5 or x > 5 
• x > -5 and x < 5 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3