Question

A) |x| = 10 6) |x| = -12​

Answer 1

а)|х|=10. 6)|х|= -12

-х= -+10. -х=12

Answer 2

It appears you've written two equations involving absolute values:

A) |x| = 10 6) |x| = -12

Let's analyze each equation separately:

A) |x| = 10

In this equation, you're looking for values of x such that the absolute value of x is equal to 10. This means that x can be either 10 or -10 because both of these values have an absolute value of 10:

x = 10 or x = -10

6. |x| = -12

In this equation, you're looking for values of x such that the absolute value of x is equal to -12. However, the absolute value of a real number is always non-negative, so there are no real solutions to this equation. In other words, there is no value of x that will make the absolute value of x equal to a negative number.

So, for equation 6), there are no real solutions.

To summarize: A) |x| = 10 has two real solutions: x = 10 and x = -10.

6. |x| = -12 has no real solutions.