Graphing an inequality with the variable on the right side and negative

The video tutorial explains the principles of equations and inequalities, emphasizing that while equations remain true when the same operation is applied to both sides, inequalities require flipping the sign when multiplying or dividing by a negative number. The tutorial also covers solving inequalities, ensuring variables are positive, and graphing them on a number line. It concludes with a recap of the key points discussed.

What happens to an equation if you add the same number to both sides?

• The equation becomes false.

• The equation remains true.

• The equation becomes undefined.

• The equation becomes an inequality.

When dividing both sides of an inequality by a negative number, what must you do to the inequality sign?

• Add a plus sign to it.

• Remove it completely.

• Flip it to the opposite direction.

• Leave it unchanged.

Why do we not solve for a negative variable in equations?

• It is mathematically incorrect.

• It is not possible to solve for a negative variable.

• It complicates the solution.

• We always aim to solve for the positive variable.

In the inequality 4 < N, which numbers would satisfy this inequality?

• 4, 5, 6

• 3, 4, 5

• 2, 3, 4

• 5, 6, 7

What is the purpose of using test points when graphing inequalities?

• To determine the direction of shading on the number line.

• To find the exact solution of the inequality.

• To check if the inequality is an equation.

• To verify the inequality sign.