Question

What are the solutions of the inequality? 12x – 3x + 11 > 4x – (17 – 9x)

Answer 1

Treatit like a regular algebra problem.
Simplify the equation and solve for x
\[12x – 3x + 11 > 4x – (17 – 9x) => 9x +11 > 5x -17\]
\[9x -5x > -11 -17\]
\[4x > -28\]
\[x>-7\]
The only difference in inequalities, other than the obvious, is that when you multiple (or divide) by a negative, the sign chances (from greater than to less than or vice versa)