Algebra #1

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

Front

What does a dotted line represent in graphing inequalities?

Back

A dotted line indicates that the points on the line are not included in the solution set of the inequality.

Front

What does a solid line represent in graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution set of the inequality.

Front

How do you determine if a point is a solution to an inequality?

Back

Substitute the point's coordinates into the inequality. If the inequality holds true, then the point is a solution.

Front

What is the difference between < and ≤ in inequalities?

Back

The symbol < means 'less than' and does not include the boundary, while ≤ means 'less than or equal to' and includes the boundary.

Front

What is the difference between > and ≥ in inequalities?

Back

The symbol > means 'greater than' and does not include the boundary, while ≥ means 'greater than or equal to' and includes the boundary.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality.

Front

Back

Front

What is the significance of the shaded region in a graph of an inequality?

Back

The shaded region represents all the possible solutions to the inequality.

Front

What is a compound inequality?

Back

A compound inequality combines two inequalities, often using 'and' or 'or' to connect them.