Systems of Linear Inequalities Word Problems

Front

What is a system of linear inequalities?

Back

A system of linear inequalities is a set of two or more inequalities that involve the same variables. The solution to the system is the set of all points that satisfy all inequalities in the system.

Front

How do you represent a situation with inequalities?

Back

To represent a situation with inequalities, identify the constraints and conditions described in the problem, then translate them into mathematical inequalities using variables.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left side of the inequality is either greater than or equal to the value on the right side.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. It indicates that the value on the left side of the inequality is strictly less than the value on the right side.

Front

In the context of the basketball challenge, what do the variables x and y represent?

Back

In the basketball challenge, x represents the number of 2-point shots, and y represents the number of 3-point shots.

Front

What is the significance of the inequality x + y < 10 in the basketball challenge?

Back

The inequality x + y < 10 signifies that Cole can take fewer than 10 total shots to win the challenge.

Front

How do you determine the minimum number of items needed in a word problem?

Back

To determine the minimum number of items needed, set up an inequality that represents the total required and solve for the variable representing the number of items.

Front

What is the meaning of the inequality 2x + 3y ≥ 20 in the basketball challenge?

Back

The inequality 2x + 3y ≥ 20 means that the total points scored from the shots must be at least 20 points.

Front

In the cookie baking problem, what do the variables x and y represent?

Back

In the cookie baking problem, x represents the number of hours spent baking chocolate chip cookies, and y represents the number of hours spent baking snickerdoodle cookies.

Front

What does the inequality 32x + 20y ≥ 150 represent in the cookie baking problem?

Back

The inequality 32x + 20y ≥ 150 represents the requirement to bake at least 150 cookies in total.