Solving 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?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

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

Back

Subtract 3 from both sides: x < 4.

Front

What is the solution to the inequality -2x > 6?

Back

Divide both sides by -2 (remember to flip the inequality): x < -3.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality means representing the solution set on a number line, using an open or closed dot to indicate whether the endpoint is included.

Front

How do you represent the solution x ≤ 4 on a number line?

Back

Draw a closed dot at 4 and shade to the left.

Front

What is the solution to the inequality 3y + 9 ≤ 0?

Back

Subtract 9 from both sides: 3y ≤ -9, then divide by 3: y ≤ -3.

Front

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

Back

The inequality sign flips when you multiply or divide both sides by a negative number.

Front

Solve the inequality -11w > -11. What is w?

Back

Divide both sides by -11 (flip the inequality): w < 1.