Question

The number of solution of| | |x-3|-3|-3|=1​

Answer 1

Step-by-step explanation:

Next, we will learn how to solve an absolute value equation. To solve an equation such as \displaystyle |2x - 6|=8∣2x−6∣=8, we notice that the absolute value will be equal to 8 if the quantity inside the absolute value bars is \displaystyle 88 or \displaystyle -8−8. This leads to two different equations we can solve independently.

2

x

−

6

=

8

or

2

x

−

6

=

−

8

2

x

=

14

2

x

=

−

2

x

=

7

x

=

−

1

Knowing how to solve problems involving absolute value functions is useful. For example, we may need to identify numbers or points on a line that are at a specified distance from a given reference point.