Solving Inequalities with Multiplication and Division

The video tutorial by Jeff Jacobson covers solving inequalities using multiplication or division without involving negative numbers. It includes three examples: solving x/5 ≤ 2, solving 4N > 32, and analyzing gym pass costs to determine when it's better to buy a one-day pass versus a month-long pass. Each example involves solving the inequality and graphing the solution. The video concludes with practice problems for viewers to try on their own.

What is the first step in solving inequalities using multiplication or division?

• Graph the inequality on a number line

• Multiply or divide both sides by the variable

• Isolate the variable using the inverse operation

• Determine if the numbers are positive or negative

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CCSS.6.EE.B.8

When graphing x ≤ 10 on a number line, how is the point x = 10 represented?

• With an open circle

• With a closed circle

• With a square

• With a triangle

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CCSS.6.EE.B.8

Why are negative numbers not considered in this video tutorial?

• They complicate the process of solving inequalities

• Multiplying or dividing by negative numbers does not affect inequalities

• Negative numbers cannot be graphed on a number line

• The focus is on positive numbers to simplify learning

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CCSS.6.EE.B.8

What does solving inequalities using multiplication or division aim to achieve?

• To determine if the inequality involves positive or negative numbers

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

• To convert the inequality into an equation

• To graph the inequality on a complex plane

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CCSS.6.EE.B.8

What does an open circle on a graph of an inequality indicate?

• The variable is less than that number

• The variable is greater than that number

• The variable is not equal to that number

• The variable is equal to that number

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CCSS.6.EE.B.8

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

• The variable becomes negative

• The inequality becomes an equation

• The inequality remains unchanged

• The direction of the inequality changes

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CCSS.6.EE.B.8

In the context of gym passes, what does the variable 'D' represent?

• The total cost for 30 days

• The number of days one goes to the gym

• The cost of a 30-day pass

• The cost of a one-day pass

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CCSS.HSF.LE.B.5

How is the inequality to decide between daily or monthly gym passes formulated?

• D > 45

• 45D < 4.5

• D < 4.5

• 4.5D < 45

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CCSS.6.EE.B.8

What does the inequality 4.5D < 45 imply about gym visits?

• Visiting exactly 10 days costs the same for both passes

• Both A and B

• Visiting less than 10 days makes the daily pass cheaper

• Visiting more than 10 days makes the monthly pass cheaper

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CCSS.6.EE.B.8

When does the cost of daily and monthly gym passes become equal?

• It never becomes equal

• Before 10 days

• After 10 days

• Exactly at 10 days

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CCSS.8.EE.C.8C