2-6 Systems of Inequalities Word Problems

Front

What is the difference between systems of equations and systems of inequalities?

Back

Systems of equations have 1 solution, no solution, or infinite solutions while systems of inequalities can have a range of solutions.

Front

If S represents student tickets and A represents adult tickets, which system of equations represents the total tickets sold and total receipts for 530 tickets and $1740?

Back

S + A = 530 and 3S + 4A = 1740.

Front

What symbol represents 'less than' in inequalities?

Back

<

Front

What symbol represents 'maximum capacity' in inequalities?

Back

<

Front

If Erin is 3 years younger than twice Alex's age and their ages combined are 33, what system of equations represents their ages?

Back

x + y = 33 and x = 2y - 3.

Front

What does a system of inequalities represent graphically?

Back

A shaded region that shows all possible solutions.

Front

How do you determine if a point is a solution to a system of inequalities?

Back

Substitute the point into each inequality; if it satisfies all, it is a solution.

Front

What is the graphical representation of a linear inequality?

Back

A line that is either solid (inclusive) or dashed (exclusive) with a shaded region.

Front

What does the slope-intercept form of a linear equation look like?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you express a system of inequalities for a real-world problem?

Back

Identify constraints and express them as inequalities based on the problem's context.