Suppose the inequality were #abs(4-x)+15 >14# instead of #abs(4 -x)+ 15 >21#. How would the solution change? Explain.?
Because the absolute value function always returns a positive value, the solution changes from being some of the real numbers
It looks like we're starting with the equation
We can subtract 15 from both sides and get:
at which point we can solve for
So now let's look at
and do the same with subtracting 15:
Because the absolute value sign will always return a value that is positive, there is no value of