How do you solve #-2x-6<=1#?

1 Answer
Dec 10, 2016

Answer:

#x >= -7/2#

Explanation:

First, we need to isolate the #x# term on one side of the inequality while keeping the inequality balanced:

#-2x - 6 + 6 <= 1 + 6#

#-2x - 0 <= 7#

#-2x <= 7#

Now we can solve for #x#. However, the rule for inequalities is if you multiply or divide by a negative number you must reverse the inequality:

#(-2x)/-2 color(red)(>=) 7/(-2)#

#x >= -7/2#