How do you solve and graph #z+3>2/3#?

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Answer 1 · 2017-07-02T00:55:43

See a solution process below:

Subtract #color(red)(3)# from each side of the inequality to solve for #z# while keeping the inequality balanced:

#z + 3 - color(red)(3) > 2/3 - color(red)(3)#

#z + 0 > 2/3 - color(red)(3)#

#z > 2/3 - color(red)(3)#

To subtract #color(red)(3)# from #2/3# we need to put the #color(red)(3)# over a common denominator by multiplying by the appropriate form of #1#:

#z > 2/3 - (3/3 xx color(red)(3))#

#z > 2/3 - 9/3#

#z > (2 - 9)/3#

#z > -7/3#