Solving and graphing a one variable inequality

The video tutorial explains how to solve inequalities and graph the solutions. It begins by comparing solving equations to inequalities, highlighting the key difference of flipping the inequality sign when dividing or multiplying by a negative number. The tutorial then demonstrates how to graph the solution on a number line, using test points to verify the solution set. The process is explained step-by-step, ensuring a clear understanding of solving and graphing inequalities.

What is the first step in solving an inequality as described in the video?

• Flipping the inequality sign

• Graphing the inequality

• Checking the solution with a test point

• Combining like terms

When solving inequalities, what must you do if you divide or multiply by a negative number?

• Flip the inequality sign

• Keep the inequality sign the same

• Subtract the same number from both sides

• Add the same number to both sides

Why is it necessary to flip the inequality sign when dividing by a negative number?

• To simplify the inequality

• To ensure the solution is positive

• To make the equation easier to solve

• To maintain the direction of the inequality

How do you determine which points are part of the solution when graphing an inequality?

• By checking if they are positive

• By ensuring they are integers

• By testing points on the number line

• By using only negative numbers

What does shading to the left on a number line indicate when graphing an inequality?

• The solution includes all positive numbers

• The solution includes only the test point

• The solution includes all numbers greater than the test point

• The solution includes all numbers less than the test point