SOLUTION: solve and graph on a number line -x over 4 is greater than 3

Question 118333: solve and graph on a number line -x over 4 is greater than 3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given inequality

Multiply both sides by 4.

Multiply

Divide both sides by -1 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 not true, we simply shade the entire portion that does not contain the point x=0 using the point as the boundary. This means we shade everything to the left of the point like this:
Graph of with the shaded region in blue

note: at the point , there is an open circle. This means the point is excluded from the solution set.

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