```Question 96908

{{{8x>=7x+8-5}}}Subtract 5 from both sides

{{{8x-7x>=8-5}}} Subtract 7x from both sides

{{{x>=8-5}}} Combine like terms on the left side

{{{x>=3}}} Combine like terms on the right side

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Now let's graph the solution

{{{x>=3}}}

Set up a number line:

{{{number_line(500,-7,13)}}}

Now plot the point x=3 on the number line

{{{number_line(500,-7,13, 3)}}}

Now pick any test point you want, I'm going to choose x=0, and test the inequality {{{x>=3}}}

{{{0>=3}}} Plug in {{{x=0}}}

Since this inequality is <font size=4><b>not</b></font> true, we simply shade the entire portion that does <font size=4><b>not</b></font> contain the point x=0 using the point x=3 as the boundary. This means we shade everything to the right of the point x=3 like this:

{{{drawing(500,50,-7,13,-10,10,
number_line(500,-7,13, 3),
blue(line(3,-5,3+10,-5)),
blue(line(3,-6,3+10,-6)),
blue(line(3,-7,3+10,-7)),
blue(arrow(3,-5,3+10.2,-5)),
blue(arrow(3,-5.5,3+10.2,-5.5)),
blue(arrow(3,-6,3+10.2,-6))
)}}} Graph of {{{x>=3}}} with the shaded region in blue

note: at the point x=3, there is an <font size=4><b>closed</b></font> circle. This means the point x=3 is included from the solution set.

```