How do you solve the inequality #3y-4> -37#?

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Answer 1 · 2018-03-11T23:30:15

See a solution process below:

First add #color(red)(4)# to each side of the inequality to isolate the #y# term while keeping the inequality balanced:

#3y - 4 + color(red)(4) > -37 + color(red)(4)#

#3y - 0 > -33#

#3y > -33#

Now, divide each side of the inequality by #color(red)(3)# to solve for #y# while keeping the inequality balanced:

#(3y)/color(red)(3) > -33/color(red)(3)#

#(color(red)(cancel(color(black)(3)))y)/cancel(color(red)(3)) > -11#

#y > -11#