Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that one value is either less than or equal to another value.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that one value is either greater than or equal to another value.

Front

How do you represent a budget constraint using an inequality?

Back

You can represent a budget constraint by using an inequality such as x ≤ budget, where x is the cost of items.

Front

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

Back

When you multiply or divide both sides of an inequality by a negative number, you must flip the inequality sign.

Front

If Karen has $25, how can we express the maximum cost of a gift she can buy?

Back

We can express it as x ≤ 25, where x is the cost of the gift.

Front

What does the phrase 'at least' indicate in terms of inequalities?

Back

The phrase 'at least' indicates a minimum value, which can be represented by the symbol '≥'.

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Back

Front

What does the inequality x < 250 represent in a real-world context?

Back

It represents that the weight allowed on the zip line must be less than 250 pounds.

Front

What is the difference between 'strict' and 'non-strict' inequalities?

Back

Strict inequalities use < or >, while non-strict inequalities use ≤ or ≥, allowing for equality.