Graphing Inequalities

Front

What does the inequality x < -4 represent on a number line?

Back

It represents all numbers less than -4, with an open circle at -4 and shading to the left.

Front

How would you write the inequality for a graph that shows all numbers greater than 5?

Back

The inequality is x > 5.

Front

What does the inequality b ≤ -2 indicate about the value of b?

Back

It indicates that b can be -2 or any number less than -2.

Front

What inequality is represented by the graph showing values greater than 2.75?

Back

The inequality is 2.75 < d.

Front

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

Back

It signifies that x can be -5 or any number greater than -5, with a closed circle at -5 and shading to the right.

Front

What is the difference between an open circle and a closed circle on a number line graph?

Back

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

Front

How do you graph the inequality x < 3 on a number line?

Back

Draw an open circle at 3 and shade to the left.

Front

What does the inequality y > 4 mean in terms of graphing?

Back

It means to draw an open circle at 4 and shade above the line y = 4.

Front

If a graph shows x ≤ 0, how would you represent this inequality?

Back

You would draw a closed circle at 0 and shade to the left.

Front

What is the significance of the inequality symbol '≥'?

Back

It means 'greater than or equal to', indicating that the number can be equal to the value or greater.