Question

Solve the inequality 3x + 7 > 9x - 17

Answer 1

Move the 7 over change it from + to -, because it changes over. Then devide both sides on 3.

Answer 2

Collect like terms, start by subtracting 3x from both sides: \[3x-3x+7>9x-3x-17\] goes to\[7>6x-17\]
Then add 17 to both sides, you get:
\[24>6x\]
Then divide both sides by 6 and you end up with \[4>x\]
which is the same as \[x<4\]