Alg warm-up for 5.6 version 2 (after day 1 notes)

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. It can be represented on a number line.

Front

What does a dotted line represent when graphing inequalities?

Back

A dotted line indicates that the points on the line are not included in the solution set, used for inequalities with < or >.

Front

What does a solid line represent when graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution set, used for inequalities with ≤ or ≥.

Front

Back

Front

What is the difference between < and ≤ in inequalities?

Back

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

Front

What is the correct inequality for a graph that shows all values greater than -2?

Back

Front

What is the correct inequality for a graph that shows all values less than or equal to -1?

Back

Front

What is the purpose of graphing inequalities?

Back

Graphing inequalities visually represents the solution set, showing all possible values that satisfy the inequality.

Front

What does the term 'solution set' refer to in the context of inequalities?

Back

The solution set refers to all the values that make the inequality true.

Front

What is the significance of the number line in solving inequalities?

Back

The number line helps to visualize the solution set and the relationship between different values.