Solving a multi-step inequality and then graphing

The video tutorial explains how to solve and graph inequalities. It begins by treating the inequality like an equation, emphasizing the importance of flipping the inequality sign when multiplying or dividing by a negative number. The tutorial demonstrates simplifying the inequality using the distributive property, isolating the variable, and graphing the solution on a number line. The instructor highlights common mistakes, such as forgetting to flip the sign, and concludes with a recap of the key steps involved in solving and graphing inequalities.

What must you remember to do when multiplying or dividing both sides of an inequality by a negative number?

• Keep the inequality sign the same

• Flip the inequality sign

• Subtract the same number from both sides

• Add the same number to both sides

Which property is used to simplify the inequality in the given problem?

• Associative Property

• Identity Property

• Commutative Property

• Distributive Property

After simplifying the inequality, what is the next step to isolate the variable?

• Add the same number to both sides

• Multiply both sides by zero

• Subtract the same number from both sides

• Divide both sides by the variable

When graphing the solution of an inequality on a number line, what does an open circle represent?

• The number is not included in the solution

• The number is included in the solution

• The inequality is invalid

• The inequality is an equation

If the inequality is M > 0, which direction should the graph extend on the number line?

• To the right of zero

• To the left of zero

• Both directions from zero

• Neither direction from zero