Divide each side of the inequality by –10 and reverse the inequality.
To solve the given inequality, divide each side by –10.
Since each side is divided by a negative number, reverse the inequality.
So, the solution set is all real numbers that are greater than –4.
Therefore, the solution consists of all real numbers in the interval (–4,
Mark the boundary point.
The inequality is
. Therefore, the boundary point is not part of the solution. On a number line, mark the boundary point with a parenthesis.
The solution set includes all real numbers greater than –4.
Here, the solution set includes all numbers greater than –4. From the boundary point, draw a ray pointing to the right.
Use the graph feature.
Use the graph feature of a graphing utility to graph
= 40 in the same viewing window. In our case, the graph obtained is as shown.
Use the intersect feature.
Using the intersect feature of the graphing utility, the point of intersection is
Use the relative locations of the graphs.
The graph of
(in red) lies below the graph of
(in blue) to the right of the point of intersection, (–4, 40). Therefore,
This verifies the solution graphically.
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