One and Two 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 in an inequality?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you solve the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides: 2x < 8. Then divide by 2: x < 4.

Front

What is the solution to the inequality 5 - x ≥ 2?

Back

Subtract 5 from both sides: -x ≥ -3. Multiply by -1 (reversing the inequality): x ≤ 3.

Front

When graphing the inequality x < 3, what type of circle is used?

Back

An open circle is used because 3 is not included in the solution.

Front

When graphing the inequality x ≥ 4, what type of circle is used?

Back

A closed circle is used because 4 is included in the solution.

Front

Write an inequality for the statement: 'A number x is at least 10.'

Back

x ≥ 10.