Graphing Inequalities

Front

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

Back

All numbers less than 4, represented by an open dot at 4 and a line extending to the left.

Front

When do you use an open dot on a number line graph?

Back

When graphing inequalities with < or >.

Front

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

Back

All numbers greater than or equal to -5, represented by a closed dot at -5 and a line extending to the right.

Front

If you can spend no more than 20 dollars, which inequality represents this situation?

Back

x ≤ 20.

Front

What does the inequality b ≤ -2 represent on a number line?

Back

All numbers less than or equal to -2, represented by a closed dot at -2 and a line extending to the left.

Front

What is the difference between ≤ and < in graphing?

Back

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

Front

How do you graph the inequality x > 3?

Back

Use an open dot at 3 and shade to the right.

Front

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

Back

x can be any number less than -4.

Front

When graphing x ≥ 0, what type of dot is used at 0?

Back

A closed dot is used at 0.

Front

What does the inequality x < 20 mean in a real-world context?

Back

It means that the value of x must be less than 20.