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 'greater than'. For example, 6 > 4 means 6 is greater than 4.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, 3 < 5 means 3 is less than 5.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is greater than or equal to 2.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, y ≤ 5 means y is less than or equal to 5.

Front

How do you solve the inequality 6 > x?

Back

To solve 6 > x, you can rewrite it as x < 6, meaning x can be any number less than 6.

Front

What is the solution to the inequality -16p ≥ 32?

Back

To solve -16p ≥ 32, divide both sides by -16 (remember to flip the inequality sign): p ≤ -2.

Front

How do you represent the inequality 11 ≤ a on a number line?

Back

On a number line, you would draw a closed circle at 11 and shade to the right, indicating all numbers greater than or equal to 11.

Front

What is the solution to the inequality 2.75 < d?

Back

The solution to 2.75 < d means d can be any number greater than 2.75.

Front

What is the first step in solving an inequality?

Back

The first step in solving an inequality is to isolate the variable on one side of the inequality sign.