3.1 HW Check Inequalities

Front

What does the inequality x ≥ -5 represent on a number line?

Back

The graph includes all numbers greater than or equal to -5, represented with a closed circle at -5 and a line extending to the right.

Front

How do you represent the inequality x < -2.8 on a number line?

Back

The graph shows an open circle at -2.8 and a line extending to the left, indicating all numbers less than -2.8.

Front

What type of circle is used to graph the inequality x < 3?

Back

An open circle is used to indicate that 3 is not included in the solution set.

Front

What does the inequality x ≤ 100 mean in terms of a number line?

Back

The graph includes all numbers less than or equal to 100, represented with a closed circle at 100 and a line extending to the left.

Front

What is the difference between open and closed circles in graphing inequalities?

Back

An open circle indicates that the number is not included in the solution (e.g., < or >), while a closed circle indicates that the number is included (e.g., ≤ or ≥).

Front

How would you graph the inequality a ≥ 11?

Back

You would use a closed circle at 11 and shade the line to the right, indicating all numbers greater than or equal to 11.

Front

What does the inequality x > -4 indicate about the values of x?

Back

It indicates that x can be any number greater than -4, not including -4 itself.

Front

How do you determine which graph corresponds to a given inequality?

Back

You analyze the inequality to see if it is open or closed, and then check the direction of the shading to match it with the correct graph.

Front

What is the significance of the number in an inequality like x < 5?

Back

The number (5) is the boundary point, and the inequality indicates whether values above or below that point are included.

Front

How can you tell if an inequality is represented correctly on a number line?

Back

Check if the circle is open or closed based on the inequality sign and ensure the shading direction matches the inequality.