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]}

How do you graph the inequality 4y-77>=234y-77>=23 on the coordinate plane?