How do you solve the inequality #z/4+7>= -5#?

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Answer 1 · 2017-03-27T20:24:37

See the entire solution process below:

Step 1) Subtract #color(red)(7)# from each side of the inequality to isolate the #z# term while keeping the inequality balanced:

#z/4 + 7 - color(red)(7) >= -5 - color(red)(7)#

#z/4 + 0 >= -12#

#z/4 >= -12#

Step 2) Multiply each side of the inequality by #color(red)(4)# to solve for #z# while keeping the inequality balanced:

#color(red)(4) xx z/4 >= color(red)(4) xx -12#

#cancel(color(red)(4)) xx z/color(red)(cancel(color(black)(4))) >= -48#

#z >= -48#