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Start with the given equation
Subtract 5 from both sides
Subtract 7x from both sides
Combine like terms on the left side
Combine like terms on the right side
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Answer:
So our answer is
Now let's graph the solution
Start with the given inequality:
Set up a number line:
Now plot the point x=3 on the number line
Now pick any test point you want, I'm going to choose x=0, and test the inequality
Plug in
Since this inequality is
not true, we simply shade the entire portion that does
not 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:
Graph of
with the shaded region in blue
note: at the point x=3, there is an
closed circle. This means the point x=3 is included from the solution set.
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