Question

9) |x-|-4||=410) |x-|-15||=30HELP ME PLEASE!!​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Sure, I'd be happy to help you with these absolute value equations. Let's solve each equation step by step:

1. |x - |-4|| = 4

To solve this equation, we'll consider two cases: one where the expression inside the inner absolute value is positive, and the other where it's negative.

Case 1: x - (-4) > 0 x + 4 = 4 x = 4 - 4 x = 0

Case 2: x - (-4) < 0 -(x + 4) = 4 -x - 4 = 4 -x = 4 + 4 -x = 8 x = -8

So the solutions for the equation are x = 0 and x = -8.

2. |x - |-15|| = 30

Again, we'll consider two cases:

Case 1: x - (-15) > 0 x + 15 = 30 x = 30 - 15 x = 15

Case 2: x - (-15) < 0 -(x + 15) = 30 -x - 15 = 30 -x = 30 + 15 -x = 45 x = -45

The solutions for this equation are x = 15 and x = -45.

So the solutions to the two equations are:

1. x = 0 and x = -8
2. x = 15 and x = -45

I hope this helps! If you have any more equations or need further assistance, feel free to ask.