Understanding Absolute Values and Solutions

The video tutorial explains how to solve an equation involving absolute value. It begins by introducing the problem of finding x in the equation |2x - 15| = -15. The instructor explains the concept of absolute value, emphasizing that it represents the distance from zero and is always non-negative. The video then analyzes why the given equation has no solution, as absolute values cannot be negative. The tutorial concludes by reinforcing that the equation has no solution due to the properties of absolute value.

What is the equation that needs to be solved in the video?

• |2x - 15| = -15

• 2x + 15 = -15

• 2x - 15 = 15

• |2x + 15| = 15

What does the absolute value of a number represent?

• The square of the number

• The number itself

• The negative of the number

• The distance from zero

If the absolute value of -15 is taken, what is the result?

• -15

• 0

• 15

• 30

Why can't an absolute value be negative?

• Because it is always a fraction

• Because it is always a whole number

• Because it represents a distance

• Because it is always zero

What is the smallest possible value of an absolute value?

• One

• Zero

• Negative one

• Negative infinity

What is the conclusion about the equation |2x - 15| = -15?

• It has no solution

• It has infinite solutions

• It has two solutions

• It has one solution