Solving One-Step Inequalities Flashcard

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'. For example, 5 > 3 means 5 is greater than 3.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, 2 < 4 means 2 is less than 4.

Front

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

Back

To solve, add 5 to both sides: 20 > z or z < 20.

Front

How do you solve the inequality: -8x < 48?

Back

Divide both sides by -8 (remember to switch the inequality): x > -6.

Front

How do you solve the inequality: x + 5 > 10?

Back

Subtract 5 from both sides: x > 5.

Front

How do you solve the inequality: 8 - y < 3?

Back

Subtract 8 from both sides: -y < -5, then multiply by -1 (switch inequality): y > 5.

Front

When do we switch the inequality sign?

Back

We switch the inequality sign when multiplying or dividing both sides by a negative number.

Front

What is the solution set for the inequality x > 5?

Back

The solution set includes all numbers greater than 5.

Front

What is the solution set for the inequality y < 5?

Back

The solution set includes all numbers less than 5.