Two Step Inequalities

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 < 11, 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'. It indicates that the value on the left side is larger than the value on the right side.

Front

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

Back

The symbol '<' means 'less than'. It indicates that the value on the left side is smaller than the value on the right side.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left side is either larger than or equal to the value on the right side.

Front

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

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left side is either smaller than or equal to the value on the right side.

Front

How do you solve the inequality 25 < X - 10?

Back

To solve 25 < X - 10, add 10 to both sides to get 35 < X, or X > 35.

Front

When graphing an inequality, what does a closed dot represent?

Back

A closed dot represents that the endpoint is included in the solution, used with '≤' or '≥'.

Front

When graphing an inequality, what does an open dot represent?

Back

An open dot represents that the endpoint is not included in the solution, used with '<' or '>'.

Front

How do you solve the inequality 16 - 4a > 8?

Back

To solve 16 - 4a > 8, subtract 16 from both sides to get -4a > -8, then divide by -4 (remember to flip the inequality) to get a < 2.

Front

How do you solve the inequality -3w - 2 < -17?

Back

To solve -3w - 2 < -17, add 2 to both sides to get -3w < -15, then divide by -3 (remember to flip the inequality) to get w > 5.