Answer :
-6x -17 ≥ 8x + 25
Subtract 8x from each side:
-14x -17 ≥ 25
Add 17 to each side:
-14x ≥ 42
Divide each side by 14 :
-x ≥ 3
Change the signs. (Multiply each side by -1.)
That's when you have to flip the inequality symbol.
x ≤ -3
Subtract 8x from each side:
-14x -17 ≥ 25
Add 17 to each side:
-14x ≥ 42
Divide each side by 14 :
-x ≥ 3
Change the signs. (Multiply each side by -1.)
That's when you have to flip the inequality symbol.
x ≤ -3
[tex]-6x-17 \geq 8x+25\\\\-6x-8x \geq 25+17\\\\-14x \geq 42\ /:(-14)\\\\x \leq -3\ \ \ \Leftrightarrow\ \ \ x\ \in(-\infty;\ -3>[/tex]
