Solving Inequalities with Multiplication and Division

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.HSA.REI.B.3

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

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

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.HSA.REI.B.3

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.HSA.REI.D.12

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.HSA.REI.B.3

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.HSA.SSE.A.1

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.HSA.CED.A.1

CCSS.HSA.CED.A.3

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.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

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.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.11