Solving a multi step inequality

The video tutorial explains how to solve multi-step inequalities by initially converting them into equations. The instructor emphasizes the use of PEMDAS for simplification and demonstrates the distributive property. The process involves combining variables on the same side and eliminating smaller variables to avoid negative numbers. The solution is finalized by graphing the inequality, ensuring the variable is on the left side for clarity. The tutorial concludes with a demonstration of how to interpret the graph and verify the solution.

What is the first step in solving a multi-step inequality according to the video?

• Multiply all terms by a constant.

• Convert the inequality to an equation.

• Graph the inequality.

• Add all terms on both sides.

Which mathematical rule is used to simplify expressions inside parentheses?

• Commutative Property

• Associative Property

• PEMDAS

• Distributive Property

What does the distributive property involve?

• Adding terms inside parentheses.

• Subtracting terms inside parentheses.

• Multiplying a number outside the parentheses with each term inside.

• Dividing terms inside parentheses.

How do you combine like terms in an equation?

• By adding or subtracting them.

• By multiplying them.

• By dividing them.

• By ignoring them.

What is a helpful hint for moving variables to one side of the equation?

• Always move the larger variable.

• Always move the smaller variable.

• Move any variable randomly.

• Do not move any variable.

What should you do after finding the solution to an inequality?

• Graph the solution.

• Ignore the solution.

• Multiply the solution by 2.

• Divide the solution by 2.

When graphing an inequality, what does an open circle represent?

• The inequality is incorrect.

• The number is not included in the solution.

• The number is included in the solution.

• The inequality is correct.