Question

1.|y|=1/5 2.-|n|=-9 3.|-b|=9 4.|d|=0 5.-|-y|=-4

Answer 1

1) 1/5

2) 9

3) 9

4) 0

5) 4

Answer 2

Let's solve each of these absolute value equations one by one:

1. |y| = 1/5 There are two possible solutions for this equation since the absolute value of a number can be either positive or negative:

   y = 1/5 or y = -1/5

2. -|n| = -9 Here, we have a negative absolute value on the left side, so we can remove the negative sign by multiplying both sides by -1:

   |n| = 9

   Now, there are two possible solutions for this equation:

   n = 9 or n = -9

3. |-b| = 9 Similarly, we can remove the absolute value by multiplying both sides by -1:

   |b| = 9

   This equation also has two possible solutions:

   b = 9 or b = -9

4. |d| = 0 The absolute value of any real number is always non-negative, so the only solution to this equation is:

   d = 0

5. -|-y| = -4 Again, we can remove the negative sign by multiplying both sides by -1:

   |y| = 4

   This equation has two possible solutions:

   y = 4 or y = -4

So, the solutions to the given absolute value equations are as follows:

1. y = 1/5 or y = -1/5
2. n = 9 or n = -9
3. b = 9 or b = -9
4. d = 0
5. y = 4 or y = -4