SAT ACT Prep how to graph the solutions to a one variable inequality

The video tutorial covers solving inequalities, focusing on understanding inequality symbols, open and closed points, and graphing solutions. It explains the steps to solve inequalities, including simplifying expressions and using test points to graph solutions. The tutorial emphasizes the importance of flipping the inequality sign when multiplying or dividing by a negative number.

What does a closed point on a number line indicate in the context of inequalities?

• The point is part of the solution.

• The point is not part of the solution.

• The inequality is less than.

• The inequality is greater than.

In the context of inequalities, what does an open point on a number line signify?

• The point is part of the solution.

• The inequality is less than or equal to.

• The point is not part of the solution.

• The inequality is greater than or equal to.

When solving inequalities, what must you remember to do when multiplying or dividing by a negative number?

• Subtract the same number from both sides.

• Flip the inequality sign.

• Keep the inequality sign the same.

• Add the same number to both sides.

What is the first step in simplifying an inequality?

• Test points on the number line.

• Apply the order of operations.

• Combine like terms.

• Graph the solution.

How do you handle variables on both sides of an inequality?

• Ignore one side.

• Subtract them from each other.

• Get them on the same side.

• Add them together.

What is the purpose of using test points when graphing an inequality?

• To find the exact solution.

• To determine the direction of shading.

• To simplify the inequality.

• To eliminate incorrect solutions.

What is the final step in solving an inequality?

• Simplify the terms.

• Test the solution.

• Use inverse operations.

• Graph the solution.