How do you graph the inequality #4y-77>=23# on the coordinate plane?

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Answer 1 · 2017-08-02T11:14:56

See a solution process below:

First, solve for #y#:

#4y - 77 + color(red)(77) >= 23 + color(red)(77)#

#4y - 0 >= 100#

#4y >= 100#

#(4y)/color(red)(4) >= 100/color(red)(4)#

#(color(red)(cancel(color(black)(4)))y)/cancel(color(red)(4)) >= 25#

#y >= 25#

This graph will be represented by a vertical line cross the #y# axis at #25# and will include the value of #25#:

graph{y >= 25 + 0x [-100, 100, -50, 50]}