Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

what is the solution of the inequality
-6x-17greater or equal to 8x+25


Sagot :

AL2006
-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


[tex]-6x-17 \geq 8x+25\\\\-6x-8x \geq 25+17\\\\-14x \geq 42\ /:(-14)\\\\x \leq -3\ \ \ \Leftrightarrow\ \ \ x\ \in(-\infty;\ -3>[/tex]