Inequalities Application

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?

Suzy is buying In-N-Out Burger for lunch for her friends.  The hamburgers cost $3.50 each and the drinks cost $1.50 each.  She wants to spend no more than $30 on lunch.  What inequality represents the number of hamburgers, h, and number of drinks, d, that she can buy?

• 3.5h + 1.5d ≤ 30

• 3.5d + 1.5h ≤ 30

• 3.5h + 1.5d ≥ 30

• 3.5h + 1.5d < 30

The speed limit is 45. Katie was going thirty miles per hour and sped up some. Which inequality represents the amount she could speed up and not be speeding?

• 30 + s ≥ 45

• 30 - s ≥ 45

• 30 + s ≤ 45

• 30 - s ≤ 45

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile.  Katie has no more than $10 to spend on the taxi ride.

• 1.75 + 0.65m < 10

• 1.75 + 0.65m > 10

• 1.75m + 0.65 < 10

• 1.75m + 0.65 > 10

• m ≤ 15

• m ≥ 15

• m ≤ 8

• m ≥ 8

Solve for x

• x > 8

• x < 9

• x > 10

• x < 7

To solve the inequality:

x/3 < 4

What needs to be done first?

• Multiply both sides by 3.

• Divide both sides by 3.

• Add 3 to both sides.

• Subtract 3 from both sides.

What would be the first step in solving the inequality for 2x+7>15?

• Add 7 to both sides

• Subtract 7 from both sides

• Divide both sides by 2

• Multiply both sides by 2

Solve the inequality 5x - 8 ≤ 27.

• x ≥ 7

• x = 27

• x ≤ 7

• x ≤ 5

Solve for x

• x > 15

• x < 15

• x > 1.7

• x < 1.7