One-Step Inequalities

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 'less than'. For example, x < 5 means x is any number less than 5.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is any number greater than 3.

Front

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

Back

Divide both sides by -8 and reverse the inequality sign: x > -6.

Front

When graphing the inequality b < 6, what type of circle is used?

Back

An open circle is used to indicate that 6 is not included in the solution.

Front

What are two possible solutions for the inequality x < 8?

Back

0.8 and 5.9 are two solutions because they are both less than 8.

Front

How do you check if a value satisfies the inequality x + 9 > 21 when x = 15?

Back

Substitute 15 into the inequality: 15 + 9 = 24, which is greater than 21, so it is true.

Front

What does the inequality 2.75 < d mean?

Back

It means that d is any number greater than 2.75.

Front

What is the difference between an open circle and a closed circle on a number line?

Back

An open circle indicates that the number is not included in the solution, while a closed circle indicates that it is included.

Front

What is a solution set in the context of inequalities?

Back

A solution set is the set of all values that satisfy the inequality.