Question

Why is the solution for this inequality all real numbers? I don't get it
9 times absolute value (-x+5)+16 is greater than or equal to 16

Answer 1

\(9|-x+5|+16 \ge 16\)
\(9|-x+5| \ge 0\)
\(|-x+5| \ge 0\)
Absolute value is always positive, so all real numbers have an absolute value greater than or equal to 0

Answer 2

Thanks you are awesome.