Linear Inequalities in Context

• The household can use no more than 10 gallons of water to qualify for an energy saving discount.

• The household needs to use less than 10 gallons of water to stay under their budget.

• The household must use exactly 10 gallons of water to match the limit perfectly.

• The household needs to use more than 10

  gallons of water to handle their water needs.

Alessandro wants to sell fandom enamel pins at a local craft fair. Pins are $8.00 each, but the cost of renting a booth is $1600. How many pins must be sold to make a profit of more than or equal to $1600? Write your answer as an inequality and use the variable p to represent the number of pins to sell.

The ballroom team is trying to buy dance shoes for their members. Because of a very generous offer they received from a local shoe manufacturer, pairs of shoes cost $23.00 each. They have $500 in their team's account and they made $650 from a recent fundraiser. The team can buy at most how many pairs of shoes? Write your answer as an inequality and use the variable p to represent the number of pairs of shoes to buy.

• The runner should go on at least 2 additional runs to get faster.

• The runner should go on fewer than 2 additional runs to avoid overtraining.

• The runner must go on exactly 2 additional runs to meet his goal perfectly.

• The runner needs to go on more than 2 additional runs to exceed his weekly mileage goal.

• Astrid meets both of her expectations

• Astrid buys the expected number of fruits, but she does beyond her budget

• Astrid stays within her budget, but she doesn't buy the expected number of fruits

• Astrid doesn't meet either of her expectations

• Lars meets both of his expectations

• Lars works for the expected number of days but doesn't earn the expected number of money

• Lars earns the expected amount of money but doesn't work for the expected number of days

• Lars doesn't meet either of his expectations

10X + 2y ≤ 14

• y ≤ -5x + 7

• y ≥-5x +7

Which of the following illustrates linear inequality in two variables?

• y > 3

• 2x + 3y = 10

• 4x ≥ 2

• 5x – y < 4

The ordered pair (a)   is in the solution set of 8x+16y>32.

• (-3, 5)

• (0, 2)

• (-1, 1)

• (4, 0)

Which of the following is a linear inequality in two variables?

• x + y < 4

• 2x + 3y = 10

• y ≥ 1

• x ≤ 3