Solving Systems of Inequalities Word Problems

Front

If the inequality symbol is > or \ge, you shade ________.

Back

above

Front

Homer sells tickets for admission to your school play. If he sold 21 tickets total for $104, how many adult tickets ($6) and children tickets ($4) were sold?

Back

10 adults, 11 children

Front

Write a system of linear inequalities for Jonah who buys small candles ($3.50) and large candles ($5.00), needing at least 20 candles and spending no more than $80.

Back

Front

Carlos works at a movie theater with 300 seats, charging $7.50 for adults and $5.50 for children. Write the system of inequalities to ensure at least $2000 is made per showing.

Back

Front

David sells nachos ($1.50) and sodas ($0.50) at a soccer game, making $78.50 from 87 items. How many nachos and sodas did he sell?

Back

35 nachos, 52 sodas

Front

What is a system of inequalities?

Back

A set of two or more inequalities with the same variables.

Front

How do you graph a system of inequalities?

Back

Graph each inequality on the same coordinate plane and find the overlapping region.

Front

What does it mean to shade above a line in a graph?

Back

It indicates that the solutions to the inequality are greater than the line's value.

Front

What does it mean to shade below a line in a graph?

Back

It indicates that the solutions to the inequality are less than the line's value.

Front

What is the significance of the boundary line in a system of inequalities?

Back

It separates the solution space from the non-solution space.