One-Step Inequalities

Front

What is a one-step inequality?

Back

A one-step inequality is an inequality that can be solved in a single step, typically involving addition, subtraction, multiplication, or division.

Front

How do you solve the inequality 15 > -5 + z?

Back

To solve, add 5 to both sides: 15 + 5 > z, which simplifies to z < 20.

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≤' mean in inequalities?

Back

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

Front

What does the symbol '≥' mean in inequalities?

Back

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

Front

What are two solutions to the inequality x < 8?

Back

Two solutions are 0.8 and 5.9.

Front

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

Back

The inequality sign flips or switches direction.

Front

Solve the inequality: 2x > 6.

Back

Divide both sides by 2: x > 3.

Front

Solve the inequality: -3x ≤ 9.

Back

Divide both sides by -3 (flipping the sign): x ≥ -3.