Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

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

How do you solve the inequality 6 + 2h > 30?

Back

Subtract 6 from both sides to get 2h > 24, then divide by 2 to find h > 12.

Front

What is the solution to the inequality -2k > 18?

Back

Divide both sides by -2 (remember to flip the inequality) to get k < -9.

Front

What does 'isolating the variable' mean?

Back

Isolating the variable means getting the variable by itself on one side of the equation or inequality.

Front

If 11 ≤ a, what does this mean in terms of a?

Back

This means that a is greater than or equal to 11.

Front

What is the first step in solving an inequality?

Back

The first step is to simplify both sides of the inequality if possible.