Graphing Inequalities

Front

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

Back

The graph shows all numbers less than -4, with an open dot at -4.

Front

Which symbol is used for an open dot on a number line?

Back

< or >

Front

What does the inequality k < 3 indicate about the value of k?

Back

k can be any number less than 3.

Front

Which graph represents the inequality 2 > p?

Back

The graph shows all numbers less than 2, with an open dot at 2.

Front

When graphing inequalities, what does a closed dot indicate?

Back

A closed dot indicates that the number is included in the solution (≤ or ≥).

Front

What does the inequality x ≥ -5 mean?

Back

The graph shows all numbers greater than or equal to -5, with a closed dot at -5.

Front

What is the difference between x < 4 and x ≤ 4?

Back

x < 4 does not include 4, while x ≤ 4 includes 4.

Front

How do you represent the inequality p ≤ 1 on a number line?

Back

Draw a closed dot at 1 and shade to the left.

Front

What does the inequality x > 5 indicate?

Back

The graph shows all numbers greater than 5, with an open dot at 5.

Front

Which inequality is represented by a number line with a closed dot at -3 and shading to the left?

Back

x ≤ -3.