One Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' represent in inequalities?

Back

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

Front

What does the symbol '≤' represent in inequalities?

Back

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

Front

How do you solve the inequality 12 ≥ 6w?

Back

To solve the inequality 12 ≥ 6w, divide both sides by 6 to get w ≤ 2.

Front

What is the solution set for the inequality x > -8?

Back

The solution set for the inequality x > -8 includes all real numbers greater than -8.

Front

How can you represent a word sentence as an inequality?

Back

To represent a word sentence as an inequality, identify the key terms (like 'at least', 'no more than', etc.) and translate them into the appropriate inequality symbols.

Front

What is the solution to the inequality y + 4 < 16 when y = 13?

Back

When y = 13, the inequality becomes 13 + 4 < 16, which simplifies to 17 < 16. This is false, so y = 13 is NOT a solution.

Front

How do you write an inequality for a budget constraint?

Back

To write an inequality for a budget constraint, express the total cost as less than or equal to the available budget.