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Answer :
To understand the solution set graphed in the problem, let's break down what's given:
1. Closed Circle at -8.3: A closed circle on a number line means that the number at that point, -8.3 in this case, is included in the solution set. In inequality terms, this means the solution could be using "≥" or "≤".
2. Ray Extending to the Right: A ray extending to the right indicates the solution set includes all numbers greater than the point where the ray starts. This suggests that the variable is greater than or equal to that point.
Putting these two pieces of information together:
- Since the circle is closed at -8.3, it indicates that -8.3 is included in the solution.
- The ray extends to the right, meaning we're considering numbers greater than -8.3.
Therefore, the inequality that corresponds to this graph is [tex]\( x \geq -8.3 \)[/tex].
This solution means the set of numbers that satisfy this graph includes -8.3 and all numbers greater than -8.3.
1. Closed Circle at -8.3: A closed circle on a number line means that the number at that point, -8.3 in this case, is included in the solution set. In inequality terms, this means the solution could be using "≥" or "≤".
2. Ray Extending to the Right: A ray extending to the right indicates the solution set includes all numbers greater than the point where the ray starts. This suggests that the variable is greater than or equal to that point.
Putting these two pieces of information together:
- Since the circle is closed at -8.3, it indicates that -8.3 is included in the solution.
- The ray extends to the right, meaning we're considering numbers greater than -8.3.
Therefore, the inequality that corresponds to this graph is [tex]\( x \geq -8.3 \)[/tex].
This solution means the set of numbers that satisfy this graph includes -8.3 and all numbers greater than -8.3.
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