GVMS - 7.13 Solve and Graph Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

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 - 7 < 2?

Back

x < 3

Front

How do you graph the inequality x < 3?

Back

You use an open circle at 3 and shade to the left to indicate all numbers less than 3.

Front

What does an open circle represent in graphing inequalities?

Back

An open circle indicates that the number is not included in the solution set.

Front

What does a closed circle represent in graphing inequalities?

Back

A closed circle indicates that the number is included in the solution set.

Front

What is the solution to the inequality n < 6?

Back

The solution is all numbers less than 6.

Front

How do you represent the inequality -2x + 3 > -7 on a number line?

Back

You would graph it with a closed circle at the point where the solution starts and shade to the right.

Front

What is the first step in solving the inequality -x + 4 > -1?

Back

The first step is to isolate the variable by subtracting 4 from both sides.