2-6 Systems of Inequalities Word Problems

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables. The solution is the region where the shaded areas of the inequalities overlap.

Front

How do you represent 'no more than' in an inequality?

Back

'No more than' is represented as ≤ (less than or equal to).

Front

How do you represent 'at least' in an inequality?

Back

'At least' is represented as ≥ (greater than or equal to).

Front

What is the difference between a system of equations and a system of inequalities?

Back

Systems of equations have specific solutions (one solution, no solution, or infinite solutions), while systems of inequalities can have a range of solutions.

Front

Write the inequality for: 'You need no less than a 90 to earn an A.'

Back

Score ≥ 90.

Front

Write the inequality for: 'Tyler has no more than $20 in his bank account.'

Back

Amount ≤ 20.

Front

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

Back

'>' means greater than.

Front

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

Back

'<' means less than.

Front

How do you graph a system of inequalities?

Back

Graph each inequality on the same coordinate plane and shade the region that satisfies all inequalities.

Front

What is the solution to the system of inequalities: x + y ≤ 300 and 7.5x + 5.5y ≥ 2000?

Back

The solution is the set of (x, y) pairs that satisfy both inequalities.