Solving Multi-Step Inequalities in Algebra

The video tutorial covers solving multi-step linear inequalities, emphasizing the similarities and differences between solving equations and inequalities. It provides detailed solutions to two example problems, highlighting the importance of reversing inequality signs when dividing by negative numbers. The tutorial also includes graphing solutions on a number line and offers additional resources for further learning.

What is the primary difference between solving equations and inequalities?

• Equations always have multiple solutions.

• Inequalities may require reversing the inequality sign when multiplying or dividing by a negative number.

• Equations do not allow the use of constants.

• Inequalities require converting all terms to positive.

What is the result of distributing 4 to the terms inside the parenthesis in the first problem?

• 4 - 28p

• 4 + 28p

• 28p - 4

• 28p + 4

What does a closed circle on a graph indicate about the solution?

• The solution is undefined.

• The value is not included in the solution set.

• The value is included in the solution set.

• The graph is incorrect.

How do you simplify the expression -4(8x + 3) - 6?

• -32x - 18

• -32x + 18

• 32x - 18

• 32x + 18

What is the correct next step after combining like terms in the second problem?

• Multiply both sides by -32

• Add 18 to both sides

• Subtract 18 from both sides

• Divide both sides by -32

What happens to the inequality sign when you divide both sides by a negative number?

• It reverses

• It disappears

• It becomes an equation

• It remains unchanged

What is the solution to the inequality -32x < -96 after isolating x?

• x < -3

• x > -3

• x < 3

• x > 3

What type of circle is used on the graph when the number is not included in the solution set?

• No circle

• Dotted circle

• Open circle

• Solid circle

What is the correct graphical representation for x > 3?

• Arrow pointing right from -3

• Arrow pointing left from 3

• Arrow pointing right from 3

• Arrow pointing left from -3

Where can students find more tutorials like the one in the video?

• mathsolutions.com

• mathhelp.org

• mathgotserved.com

• learnmath.com