Make the question, |10x| > -2, have the variable x isolated by dividing both sides by 10. After doing this you will have: |x| > -2/10, or |x| > -1/5.
Split |x| > -1/5 into two equations, with the number on the right being positive or negative. The two equations will be: x > -1/5 and x < 1/5.
Now, you might be thinking the answer is B, but first graph this on a number line to make sure it's not All real numbers or No solution.
After graphing x on a number line, x > -1/5 and x < 1/5, you end up with two lines that are going on forever in the opposite direction, so that means each number on the number line can be a solution. This means that your answer is All real numbers, or C. All values are solutions. I attached a picture of what the number line graph looks like.