One Step 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 in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

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

Back

The symbol '<' means 'less than'. For example, y < 3 means y is less than 3.

Front

How do you solve the inequality x + 5 > 7?

Back

Subtract 5 from both sides: x > 2.

Front

What is the solution to the inequality -4 + y < -8?

Back

Add 4 to both sides: y < -4.

Front

What happens to the inequality symbol when you multiply or divide by a negative number?

Back

The inequality symbol flips. For example, if -2x > 6, dividing by -2 gives x < -3.

Front

How do you represent the solution set of an inequality on a number line?

Back

Use an open circle for '>' or '<' and a closed circle for '≥' or '≤'. Shade the direction of the solution.

Front

What is the solution to the inequality m - 9 ≤ 20?

Back

Add 9 to both sides: m ≤ 29.

Front

What does the inequality x - 3 > -3 represent?

Back

It represents all values of x that are greater than 0.

Front

What is the first step in solving the inequality 2x < 10?

Back

Divide both sides by 2: x < 5.