Solving Multi-Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'. For example, a > b means a is greater than b.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, a < b means a is less than b.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, a ≥ b means a is greater than or equal to b.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, a ≤ b means a is less than or equal to b.

Front

How do you solve the inequality 2x + 3 < 7?

Back

Subtract 3 from both sides: 2x < 4. Then divide by 2: x < 2.

Front

What is the first step in solving multi-step inequalities?

Back

The first step is to simplify both sides of the inequality if possible, by combining like terms.

Front

How do you isolate the variable in the inequality 3x - 5 ≥ 4?

Back

Add 5 to both sides: 3x ≥ 9. Then divide by 3: x ≥ 3.

Front

What is the solution to the inequality -4x - 7 ≥ 21?

Back

Add 7 to both sides: -4x ≥ 28. Then divide by -4 (remember to flip the inequality): x ≤ -7.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality means to represent the solutions of the inequality on a number line, using open or closed circles to indicate whether endpoints are included.