Graphing Inequalities

Front

What does the inequality x ≥ 3 represent on a number line?

Back

The graph includes all numbers greater than or equal to 3, with a closed dot at 3.

Front

When do you use a closed dot on a number line graph for inequalities?

Back

You use a closed dot for the symbols ≤ (less than or equal to) and ≥ (greater than or equal to).

Front

What is the correct letter for the inequality x < 6 on a number line?

Back

B, indicating all numbers less than 6.

Front

What is the correct letter for the inequality 6 > x on a number line?

Back

B, indicating all numbers less than 6.

Front

Which graph represents the inequality 2.5 ≤ x?

Back

Graph A, indicating all numbers greater than or equal to 2.5.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the endpoint, while non-strict inequalities (≤, ≥) do include the endpoint.

Front

How do you graph the inequality x > 4?

Back

Draw an open dot at 4 and shade to the right.

Front

What does the inequality x ≤ -1 indicate on a number line?

Back

The graph includes all numbers less than or equal to -1, with a closed dot at -1.

Front

How do you represent the inequality -3 < x < 2 on a number line?

Back

Draw open dots at -3 and 2, shading between them.

Front

What is the significance of the closed dot in graphing inequalities?

Back

A closed dot indicates that the number at that point is included in the solution set.