Problem 38
Question
Graph the solution set of each system of inequalities or indicate that the
system has no solution.
$$-2
Step-by-Step Solution
Verified Answer
The graphic representation of the solution set is a line that starts from an open circle at -2 and extends to a closed circle at 5 on a number line.
1Step 1: Analyze the Inequality
The inequality given is \( -2
2Step 2: Plot the Lower Limit
Draw a number line and mark -2 on it. As y is strictly greater than -2 (y > -2), you should draw an open circle, which means that -2 is not included in the solution.
3Step 3: Plot the Upper Limit
Mark 5 on the number line. As y is less than or equal to 5 (y ≤ 5), you should draw a closed circle, which means that 5 is included in the solution.
4Step 4: Draw the Solution Set
The solution is the interval between -2 and 5. Therefore, draw a line connecting them to illustrate that every number between -2 and 5 (exclusive of -2 and inclusive of-5) belongs to the solution set.
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