Solving and graphing a multi-step inequality

The video tutorial covers solving multi-step inequalities, emphasizing the distributive property and combining like terms. It explains solving inequalities by isolating variables and highlights the importance of reversing inequality signs when multiplying or dividing by negative numbers. The tutorial concludes with graphing the solution on a number line, ensuring students understand shading regions where the inequality holds true.

What is the first step when solving a multi-step inequality involving parentheses?

• Add all numbers first

• Use the distributive property

• Combine like terms immediately

• Graph the inequality

When combining like terms in the inequality -8B - 2B, what is the result?

• -6B

• -10B

• 6B

• 10B

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

• Flip the inequality sign

• Add the same number to both sides

• Multiply both sides by a positive number

• Subtract the same number from both sides

How do you determine which side of the number line to shade when graphing an inequality?

• Shade the side where the inequality is false

• Do not shade any side

• Shade both sides equally

• Shade the side where the inequality is true

If B is greater than or equal to 0, which of the following points would be included in the shaded region on the number line?

• 0

• -3

• -2

• -1