Divide both sides by -4 to isolate x (note: Remember, dividing both sides by a negative number flips the inequality sign)
Divide
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Answer:
So our answer is
Now let's graph the solution set
Start with the given inequality:
Set up a number line:
Now plot the point 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 true, we simply shade the entire portion in which contains the point x=0 using the point as the boundary.This means we shade everything to the right of the point like this:
Graph of with the shaded region in blue
note: at the point , there is an closed circle. This means the point is included from the solution set.
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