Solving Inequalities with Multiplication and Division

The video tutorial covers solving inequalities using multiplication or division. It explains the properties of inequalities when using positive and negative values, emphasizing when to reverse the inequality symbol. The tutorial includes examples of solving and graphing inequalities on a number line, and provides practice problems to reinforce learning. Key concepts include the multiplication and division properties of inequality, and the importance of reversing the inequality symbol when dealing with negative values.

What is the primary objective when solving inequalities using multiplication or division?

• To always reverse the inequality symbol

• To graph the solution on a number line

• To find the value of the variable that makes the inequality true

• To convert the inequality into an equation

Tags

CCSS.HSA.REI.B.3

When multiplying or dividing both sides of an inequality by a positive number, what happens to the inequality symbol?

• It becomes an equals sign

• It disappears

• It remains unchanged

• It always flips

Tags

CCSS.HSA.REI.B.3

What is the result of dividing both sides of an inequality by a positive number?

• The variable on one side disappears

• The inequality symbol reverses

• The inequality symbol remains the same

• The inequality becomes an equation

Tags

CCSS.HSA.REI.B.3

How do you graph an inequality where x is less than a number?

• With an open circle and shading to the right

• With a closed circle and shading to the left

• With a closed circle and shading to the right

• With an open circle and shading to the left

Tags

CCSS.HSA.REI.D.12

What does graphing an inequality solution on a number line help to visualize?

• The division property of inequality

• The multiplication property of inequality

• The exact value of the variable

• The range of possible values for the variable

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

When graphing x > -9, how is the graph represented?

• Open circle on -9, shading to the right

• Closed circle on -9, shading to the right

• Closed circle on -9, shading to the left

• Open circle on -9, shading to the left

Tags

CCSS.HSA.REI.D.12

What must you do when you multiply or divide both sides of an inequality by a negative number?

• Subtract the number from both sides

• Keep the inequality symbol the same

• Add 1 to both sides

• Reverse the inequality symbol

Tags

CCSS.HSA.REI.B.3

When solving an inequality, why is it important to know whether the multiplier or divisor is positive or negative?

• It determines if the solution set is positive or negative

• It affects whether the inequality symbol is reversed

• It has no effect on the solution

• It changes the inequality into an equation

Tags

CCSS.HSA.REI.B.3

True or False: To solve an inequality divided by a positive number, you must reverse the inequality symbol.

• True

• False

• Depends on the value

• Only if it's an even number

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

If you multiply both sides of an inequality by -3/2, what must you remember to do?

• Nothing, just solve as usual

• Reverse the inequality symbol

• Convert the inequality to an equation

• Subtract 3 from both sides

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3