Question

Math question please show work for brainliest :)

Answer 1

An absolute value function will have a value greater than or equal to zero, so will be greater than any negative number for all values of x. The appropriate choice is ...

... C. All values are solutions

Answer 2

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.