Understanding Inequalities with Absolute Values

The video tutorial explains how to use absolute value symbols to make inequalities true. It begins by setting up the problem with two inequalities, one requiring the left side to be less than the right, and the other the opposite. The tutorial simplifies both sides of the inequalities, demonstrating the use of exponents and multiplication. It then shows how to apply absolute value symbols to achieve the desired inequality, explaining that negative numbers are less than positive numbers. Finally, it clarifies the meaning of inequality symbols, emphasizing their directionality in comparing numbers.

What is the initial goal when placing absolute value symbols in inequalities?

• To simplify the expressions

• To make the inequality true

• To make the left side greater

• To make both sides equal

Tags

CCSS.6.EE.A.1

What is the result of four to the third power?

• 128

• 32

• 64

• 16

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

What is the product of negative six and three?

• -18

• 18

• -9

• 9

How do you make the left side less than the right side using absolute values?

• Add absolute value symbols to the right side

• Subtract absolute value symbols from the right side

• Add absolute value symbols to the left side

• Subtract absolute value symbols from the left side

Tags

CCSS.6.NS.C.7C

What is the absolute value of negative eighty-two?

• 164

• 82

• 0

• -82

In the second inequality, what change is made to make the right side greater?

• Subtract absolute value symbols from the right side

• Subtract absolute value symbols from the left side

• Add absolute value symbols to the right side

• Add absolute value symbols to the left side

What is the result when the right side is enclosed in absolute value symbols?

• Negative eighty-two

• Negative one hundred sixty-four

• Positive eighty-two

• Zero

Tags

CCSS.6.EE.B.8

What does the inequality symbol indicate?

• It indicates subtraction

• It indicates equality

• It points to the smaller number

• It points to the larger number

Tags

CCSS.6.EE.B.8

What is the final reminder about inequality symbols?

• They always point to the smaller number

• They always point to the larger number

• They indicate addition

• They are irrelevant in inequalities

What is the purpose of using absolute value symbols in inequalities?

• To simplify calculations

• To ensure the inequality is true

• To change the sign of numbers

• To make both sides equal