Graphing Inequalities

Front

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

Back

It represents all numbers less than -4, which is shown with an open circle at -4 and a line extending to the left.

Front

What does the inequality x ≥ 3 indicate?

Back

It indicates all numbers greater than or equal to 3, represented with a closed circle at 3 and a line extending to the right.

Front

How do you represent the inequality a < 11 on a number line?

Back

It is shown with an open circle at 11 and a line extending to the left.

Front

What does the inequality s > 20 mean in a real-world context?

Back

It means there are more than 20 students in the hallway.

Front

What is the difference between x > 3 and x ≥ 3?

Back

x > 3 means greater than 3 (open circle), while x ≥ 3 means greater than or equal to 3 (closed circle).

Front

How do you graph the inequality x < 4?

Back

Draw an open circle at 4 and shade to the left.

Front

What does the inequality a ≤ 11 represent?

Back

It represents all numbers less than or equal to 11, shown with a closed circle at 11 and shading to the left.

Front

What is the meaning of the inequality x ≥ -4?

Back

It means all numbers greater than or equal to -4, represented with a closed circle at -4 and shading to the right.

Front

How would you express 'at least 5' in inequality form?

Back

It can be expressed as x ≥ 5.

Front

What does the inequality x < -3 indicate about the values of x?

Back

It indicates that x can be any number less than -3.