Graphing Inequalities on Number Lines

Front

What does the inequality 6 > x mean?

Back

x is any number less than 6.

Front

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

Back

< and >.

Front

When graphing an inequality, which symbols use a closed dot?

Back

≤ and ≥.

Front

What inequality does the number line graph with a closed dot at -5 and shading to the right represent?

Back

x ≥ -5.

Front

What inequality does the number line graph with a closed dot at 3 and shading to the right represent?

Back

x ≥ 3.

Front

What does the inequality x < 4 mean?

Back

x is any number less than 4.

Front

What does the inequality x > -2 mean?

Back

x is any number greater than -2.

Front

How do you represent the inequality x ≤ 7 on a number line?

Back

Draw a closed dot at 7 and shade to the left.

Front

How do you represent the inequality x > 1 on a number line?

Back

Draw an open dot at 1 and shade to the right.

Front

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

Back

An open dot means the number is not included; a closed dot means the number is included.