Graphing & Translating 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 '>' represents 'greater than' in inequalities.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' represents 'less than' in inequalities.

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' represents 'greater than or equal to' in inequalities.

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' represents 'less than or equal to' in inequalities.

Front

How do you graph the inequality x ≥ -5 on a number line?

Back

To graph x ≥ -5, draw a number line, place a closed circle on -5, and shade to the right to indicate all numbers greater than or equal to -5.

Front

What is the meaning of the inequality m > 41 in a real-world context?

Back

The inequality m > 41 means that the value of m is greater than 41, which can represent a situation where a score or quantity exceeds 41.

Front

How do you represent the statement 'a person must be no more than 12 years old' in inequality form?

Back

The statement can be represented as x ≤ 12, where x is the age of the person.

Front

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

Back

Strict inequalities (>, <) do not include the boundary value, while non-strict inequalities (≥, ≤) include the boundary value.

Front

How can you check if a number satisfies the inequality x < 10?

Back

To check if a number satisfies the inequality x < 10, simply see if the number is less than 10.