Gardening. During an Arbor Day sale, a garden store sold...

Gardening. During an Arbor Day sale, a garden store sold more than $\$ 2,000$ worth of 6 -foot maple and 5 -foot pine trees. A 6-foot maple sold for $\$ 100$ and a 5 -foot pine sold for S125. Write an inequality that describes the possible combinations of the number of the maple trees $(x)$ and the number of pine trees $(y)$ that could have been sold during the sale. Graph the inequality and give three ordered-pair solutions.

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Translation of Word Problems to Inequalities

This concept involves converting a verbal scenario into an algebraic inequality by identifying the key quantities and their relationships. It requires defining the variables and interpreting conditions like 'more than' or 'at least' to set up the correct mathematical inequality.

Linear Inequalities

Linear inequalities are algebraic expressions that relate a linear combination of variables to a constant using inequality symbols (such as >, <, ?, or ?). They model situations where the sum or difference of quantities must exceed, fall below, or meet a particular threshold.

Graphing Linear Inequalities

Graphing linear inequalities on the coordinate plane involves drawing the boundary line defined by the equality and then shading the region that represents the inequality. This shaded region represents all the combinations of variable values that satisfy the inequality.

Ordered Pair Solutions

Ordered pair solutions are specific sets of values for the variables that satisfy the inequality. They provide concrete examples of possible combinations and help in understanding the range of acceptable solutions in the context of the inequality.

Transcript

Please give Ace some feedback