Linear inequalities (one variable)

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols such as <, >, ≤, or ≥.

Front

What does the symbol ≤ mean?

Back

The symbol ≤ means 'less than or equal to'. It indicates that a value can be 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 a value can be greater than or equal to another value.

Front

How do you represent 'no more than 15 markers' in inequality form?

Back

The inequality is represented as x ≤ 15.

Front

If Mrs. Scott spends no more than $120 on birthday presents for her triplets, what inequality represents the maximum she can spend on each child?

Back

The inequality is represented as 3x ≤ 120, where x is the amount spent on each child.

Front

What does the inequality x ≤ 100 represent?

Back

It represents that the value of x can be 100 or any value less than 100.

Front

How do you express 'a number divided by -10 is no less than 20' in inequality form?

Back

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 reverse the inequality sign.

Front

If Ms. Brzezinksi ran for more than 45 minutes, how is this expressed in inequality form?

Back

The inequality is represented as d > 45, where d is the number of minutes.

Front

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

Back

The solution set includes all real numbers less than 5.