Solving Multi-Step Inequalities with Parentheses

The video tutorial explains how to solve inequalities, highlighting the differences from solving equations. It covers the steps to simplify both sides of an inequality, isolate variables, and create solution sets. The tutorial emphasizes the importance of understanding the rules when multiplying or dividing by negative numbers and how to graph the solution set on a number line.

What is the first step in solving an inequality?

• Check the solution

• Isolate the variable

• Combine like terms

• Apply the order of operations

What is a key difference between solving equations and inequalities?

• Equations are solved using different operations

• Inequalities require different rules for multiplication and division by negative numbers

• Equations always have one solution

• Inequalities have no solutions

When solving inequalities, what should you do after simplifying both sides?

• Graph the solution

• Check the solution

• Multiply both sides by a negative number

• Get the variable on the same side

What property is applied to simplify the left and right sides of an inequality?

• Distributive property

• Identity property

• Associative property

• Commutative property

What should you do to both sides of the inequality to isolate the variable?

• Divide by the same number

• Multiply by the same number

• Subtract the same number

• Add the same number

What is the solution to the inequality 8x - 10 < -4?

• x < 1

• x < 2

• x < 3/4

• x < 1/2

What does the solution set of an inequality represent?

• A range of values

• A single value

• No values

• Only positive values

How is the solution set of x < 3/4 represented on a number line?

• An open circle at 1

• A closed circle at 1

• An open circle at 3/4

• A closed circle at 3/4

What is the decimal equivalent of the fraction 3/4?

• 0.25

• 1.25

• 0.75

• 0.5

In the context of inequalities, what does an open circle on a number line indicate?

• The number is not included in the solution set

• The number is included in the solution set

• The number is the only solution

• The number is a boundary