Question

Which of the following is a solution for 4m - 5 > -9 or 4m - 5 < 3?
A. m > -9 or m < 3
B. m > -1 or m < 1/2
C. All Real Numbers
D. No Solution

Answer 1

is it m > -1 or m < 1/2

Answer 2

\[4m-5>-9\iff 4m>-4\iff m>-1\] OR
\[4m-5<3\iff 4m<8\iff m<2\]

Answer 3

since every number fits one of those categories (greater than -1 or less than 2) solution is all real numbers