Solving one step 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 'less than'.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' represents 'greater than'.

Front

What does the symbol '≤' represent in inequalities?

Back

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

Front

What does the symbol '≥' represent in inequalities?

Back

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

Front

When solving an inequality, when do you flip the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of the inequality by a negative number.

Front

In the inequality 2x < 20, what is the first step to solve for x?

Back

The first step is to divide both sides by 2, resulting in x < 10.

Front

How do you graph the inequality x > 2?

Back

You put an open dot on 2 and shade to the right to indicate all numbers greater than 2.

Front

What is the solution set for the inequality -4x ≥ 10?

Back

The solution set is x ≤ -2, and the inequality sign flips when dividing by -4.

Front

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

Back

An open dot indicates that the number is not included in the solution (e.g., x > 2), while a closed dot indicates that the number is included (e.g., x ≤ 2).