How do you solve #9g + 7\leq - 2#?

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Answer 1 · 2017-12-06T04:04:09

See a solution process below:

First, subtract #color(red)(7)# from each side of the inequality to isolate the #g# term while keeping the inequality balanced:

#9g + 7 - color(red)(7) <= -2 - color(red)(7)#

#9g + 0 <= -9#

#9g <= -9#

Now, divide each side of the inequality by #color(red)(9)# to solve for #g# while keeping the inequality balanced:

#(9g)/color(red)(9) <= -9/color(red)(9)#

#(color(red)(cancel(color(black)(9)))g)/cancel(color(red)(9)) <= -1#

#g <= -1#