Question

|x| =7; |x| =-7; |x+7|=0

Answer 1

1) |x| = 7

x₁ = 7      x₂ = - 7

2) |x| = - 7

решений нет

3) |x + 7| = 0

x + 7 = 0

x = - 7

Answer 2

Объяснение:

вот это ответь 100%Правильно

Answer 3

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

1. |x| = 7: To solve this equation, you can consider two cases:

Case 1: x is positive. In this case, |x| is equal to x, so you have: x = 7

Case 2: x is negative. In this case, |x| is equal to -x, so you have: -x = 7

Now, solve for x in the second case: -x = 7 x = -7

So, there are two solutions for |x| = 7: x = 7 and x = -7.

2. |x| = -7: This equation has no real solutions. The absolute value of any real number is always non-negative, so it cannot be equal to a negative number like -7. Therefore, there are no real solutions for |x| = -7.

3. |x + 7| = 0: To solve this equation, realize that the absolute value of any real number is never negative, and the only real number whose absolute value is 0 is 0 itself. Therefore: x + 7 = 0

Now, solve for x: x = -7

So, the only solution for |x + 7| = 0 is x = -7.