Graphing Inequalities

Front

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

Back

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

Front

What does the inequality a ≥ 11 indicate about the value of a?

Back

It indicates that a can be 11 or any number greater than 11, shown with a closed dot at 11 and a line extending to the right.

Front

What does the inequality b ≤ -2 mean?

Back

It means that b can be -2 or any number less than -2, shown with a closed dot at -2 and a line extending to the left.

Front

When graphing an inequality, which symbols use an open dot?

Back

The symbols < and > use an open dot.

Front

What does the statement 'you must be at least 48 inches to ride the roller coaster' translate to in inequality form?

Back

x ≥ 48.

Front

How do you represent the inequality x > 3 on a number line?

Back

It is represented with an open dot at 3 and a line extending to the right.

Front

What is the difference between ≤ and < in graphing inequalities?

Back

≤ includes the endpoint (closed dot), while < does not (open dot).

Front

How would you graph the inequality a < 5?

Back

You would place an open dot at 5 and shade to the left.

Front

What does the inequality y ≥ 0 represent?

Back

It represents all values of y that are 0 or greater, shown with a closed dot at 0 and shading upwards.

Front

If the inequality is z < 10, how would you show this on a number line?

Back

You would place an open dot at 10 and shade to the left.