One and Two Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

What is the first step in solving the inequality 2x + 7 > 15?

Back

Subtract 7 from both sides to isolate the term with the variable.

Front

What happens to the inequality sign when you multiply or divide both sides by a negative number?

Back

You must flip the inequality sign.

Front

What is the solution to the inequality s + 9 ≥ -25?

Back

s ≥ -34.

Front

How do you check if a solution to an inequality is correct?

Back

Substitute the solution back into the original inequality to see if it holds true.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

If you have the inequality -3 + x ≥ -12, do you need to flip the sign?

Back

No, you do not need to flip the sign because you are adding a positive number.

Front

What is the solution to the inequality 3x < 12?

Back

x < 4.