graph inequalities

Front

What is a graph inequality?

Back

A graph inequality is a visual representation of an inequality on a coordinate plane, showing the set of solutions that satisfy the inequality.

Front

What does an open circle represent in graphing inequalities?

Back

An open circle indicates that the number is not included in the solution set (e.g., x < 3).

Front

What does a closed circle represent in graphing inequalities?

Back

A closed circle indicates that the number is included in the solution set (e.g., x ≤ 3).

Front

How do you graph the inequality s - 10 ≤ 1?

Back

First, solve for s: s ≤ 11. Then, graph a closed circle at 11 and shade to the left.

Front

What is the solution to the inequality k < 3?

Back

The solution is all values of k that are less than 3, represented by an open circle at 3 and shading to the left.

Front

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

Back

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

Front

How do you determine which graph matches a given inequality?

Back

Analyze the inequality to find the boundary point and whether it is open or closed, then check the direction of shading.

Front

What is the inequality that corresponds to the graph with a closed circle at 6 and shading to the left?

Back

The inequality is b ≤ 6.

Front

What does the inequality s ≥ 9 represent on a number line?

Back

It represents all values of s that are greater than or equal to 9, shown with a closed circle at 9 and shading to the right.

Front

How do you graph the inequality x > 4?

Back

Graph an open circle at 4 and shade to the right to indicate all values greater than 4.