Two-Step Inequalities Flashcard

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable. For example, in the inequality 2x + 3 < 7, you would first subtract 3 and then divide by 2.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is any number greater than 5.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is any number less than 3.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is any number greater than or equal to 4.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is any number less than or equal to 2.

Front

When graphing the inequality a < 11, what type of circle is used?

Back

An open circle is used when graphing a < 11, indicating that 11 is not included in the solution.

Front

When graphing the inequality a ≥ 11, what type of circle is used?

Back

A closed circle is used when graphing a ≥ 11, indicating that 11 is included in the solution.

Front

How do you solve the inequality 5x < 5?

Back

To solve 5x < 5, divide both sides by 5 to get x < 1.

Front

What is the solution to the inequality 7n - 1 > 76?

Back

To solve 7n - 1 > 76, add 1 to both sides to get 7n > 77, then divide by 7 to find n > 11.

Front

How do you solve the inequality 6(n + 2) < -72?

Back

To solve 6(n + 2) < -72, divide both sides by 6 to get n + 2 < -12, then subtract 2 to find n < -14.