Solve and graph 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 it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

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

What is the solution to the inequality 3x < -9?

Back

The solution is x < -3.

Front

How do you graph the inequality x >= 3 on a number line?

Back

You draw a closed circle on 3 and shade to the right to indicate all numbers greater than or equal to 3.

Front

What is the solution to the inequality -9p > 18?

Back

The solution is p < -2.

Front

What does the graph of an inequality represent?

Back

The graph of an inequality represents all the possible solutions to that inequality.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary point, while non-strict inequalities (<=, >=) do include the boundary point.

Front

How do you check if a value is a solution to an inequality?

Back

Substitute the value into the inequality and see if the statement is true.

Front

What is the significance of the number line in graphing inequalities?

Back

The number line visually represents the range of solutions for the inequality, showing which values satisfy the condition.