Graphing Inequalities

A carpenter has at most $250 to spend on lumber. The inequality 8x + 12y ≤ 250 represents the numbers x of 2-by-8 boards and the numbers y of 4-by-4 boards the carpenter can buy. Can the carpenter buy twelve 2-by-8 boards and fourteen 4-by-4 boards?

• Yes,

• no

A drama club must sell at least $1500 worth of tickets to cover the expenses of producing a play. Write an inequality that represents how many adult and student tickets the club must sell.

• 10x + 6y = 1500

• 10x + 6y ≤ 1500

• 10x + 6y ≥ 1500

write an inequality that represents the graph.

• y ≤ 2x + 1

• y ≥ 2x +1

• y < 2x + 1

• y > 2x + 1