Answer:
Explanation:
The given inequalities involve absolute values and inequalities with variables. Let's break down each part:
|x - 3| < 10:
This inequality states that the absolute value of (x - 3) is less than 10. This means that x can be any value within a distance of 10 units from 3 on the number line. In other words, x must fall within the interval (3 - 10, 3 + 10), which simplifies to (-7, 13).
|x - 3| > -10:
This inequality doesn't provide any meaningful constraint since the absolute value of any real number is always greater than or equal to 0. So, this inequality is always true for any value of x.
Putting it all together, the solution is the interval (-7, 13) for the first inequality, and for the second inequality, it is true for all real values of x.
To summarize:
|x - 3| < 10 is satisfied when -7 < x < 13.
|x - 3| > -10 is true for all real values of x.