Inequalities Practice

Front

What does the inequality symbol '≤' mean?

Back

It means 'less than or equal to'. It indicates that the value on the left can be less than or equal to the value on the right.

Front

Is -25 a solution to the inequality x ≤ -10?

Back

Yes, -25 is a solution because -25 is less than -10.

Front

What type of circle is used when graphing the inequality symbol '>'?

Back

An open circle is used to indicate that the endpoint is not included in the solution.

Front

When graphing the inequality x < 5, what type of circle do you draw?

Back

An open circle at 5.

Front

Do you flip the inequality sign when dividing by a negative number?

Back

Yes, you must flip the sign when dividing or multiplying both sides of an inequality by a negative number.

Front

Solve the inequality: 3x ≥ 12. What is x?

Back

x ≥ 4.

Front

What is the solution to the inequality 2(x - 4) ≤ 16?

Back

x ≤ 12.

Front

How do you represent the solution of the inequality 7n - 1 > 76 on a number line?

Back

Graph an open circle at n = 11 and shade to the right.

Front

What does the inequality symbol '>' mean?

Back

It means 'greater than'. It indicates that the value on the left is larger than the value on the right.

Front

What is the first step to solve the inequality 5x + 3 < 18?

Back

Subtract 3 from both sides to isolate the term with x.