Question
Graph the solution set of the following system of inequalities,
Ask by Savage Dunn. in the United States
Dec 06,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
Graph the line
and the parabola
. The solution set is the overlapping area of these two graphs.
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Mind Expander
To graph the solution set of the given system of inequalities, start with the equation
. Rearranging this gives
. This line will be the boundary for the first inequality, and since it’s
, the area below and including the line should be shaded.
Next, for the second inequality
, plot the parabola
. Since the inequality is
, shade the area above and including the parabola.
The solution set is the region where the two shaded areas overlap. Be sure to include the boundary lines in your graph since both inequalities are non-strict. Happy graphing!