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 > 7, you would first subtract 3 from both sides and then divide by 2.

Front

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

Back

First, subtract 16 from both sides: -4a > -8. Then, divide by -4 (remember to flip the inequality sign): a < 2.

Front

What does the inequality symbol '>' mean?

Back

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

Front

What does the inequality symbol '<' mean?

Back

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

Front

How do you graph the inequality x > 2?

Back

To graph x > 2, draw a number line, place an open circle on 2 (indicating 2 is not included), and shade to the right to show all numbers greater than 2.

Front

What is the solution to the inequality 25 < X - 10?

Back

Add 10 to both sides: 35 < X, or X > 35.

Front

How do you solve the inequality 7n - 1 > 76?

Back

First, add 1 to both sides: 7n > 77. Then, divide by 7: n > 11.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to.

Front

What is the difference between '<' and '≤'?

Back

'<' means less than, while '≤' means less than or equal to.

Front

How do you interpret the solution a < 2?

Back

This means that the variable 'a' can take any value less than 2.