Two Step Inequalities

-3y + 2 > 11

• y < -3

• y > -3

• y < 3

• y > 3

Solve for k.
2k - 9≤ -19

• k ≤ -5

• k ≤ 5

• k < -5

• k < 5

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?

You flip an inequality symbol when you...

• subtract

• multiply and divide only

• multiple by a negative number

• multiple or divide by a negative number

• x < 16 
• x > 16 
• x < 32
• x < 10 

• x > 3

• x ≤ ⅕

• x ≥ 3

• x ≤ ⅕

16 - 4a > 8

• a<-2

• a>-2

• a<2

• a>2

Solve the following inequality. Show your algebraic work!

• m > 6

• m < 5

• m < 3

-3y + 2 > 11

• y < -3

• y > -3

• y < 3

• y > 3

Solve the inequality -4x + 14 ≤ 54

• x ≥ - 10

• x ≤ -10

• x ≥ 10

• x ≤ 10