8th- Inequalities Word Problems

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

How do you represent a word problem as an inequality?

Back

Identify the quantities involved, determine the relationship between them, and express it using inequality symbols (e.g., <, >, ≤, ≥).

Front

What does 'congruent angles' mean?

Back

Congruent angles are angles that have the same measure.

Front

How do you solve an inequality?

Back

To solve an inequality, isolate the variable on one side using inverse operations, similar to solving an equation, while reversing the inequality sign if you multiply or divide by a negative number.

Front

What is the significance of the slope in a linear inequality?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable, affecting the direction of the inequality.

Front

What is a 'solution set' in the context of inequalities?

Back

A solution set is the set of all values that satisfy the inequality.

Front

How do you graph an inequality on a number line?

Back

Use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate side of the circle to indicate the solution set.

Front

What is the difference between 'less than' and 'less than or equal to'?

Back

'Less than' (<) does not include the endpoint, while 'less than or equal to' (≤) includes the endpoint.

Front

How do you interpret the solution of an inequality in a real-world context?

Back

The solution of an inequality can represent a range of possible values that satisfy a condition, such as costs, distances, or quantities.

Front

What is a 'one-time fee' in a word problem?

Back

A one-time fee is a fixed cost that does not change with the quantity of items purchased.