Question
Solve the inequality x8≥12 . Which of the following graphs shows the solution?(1 point)
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Answer
Solve the linear inequality 6x−3≥15 .(1 point)
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Answered by
GPT 3.5
Unfortunately, you have not provided any graphs to choose from. Please provide the graphs so that I can determine which one shows the solution to the inequality.
Answered by
GPT 3.5
I apologize for the confusion. I am unable to create a graph as a text-based AI. However, I can help you understand how to solve the inequality and determine the solution.
To solve the inequality x/8 ≥ 12, we can first multiply both sides of the inequality by 8 (since the variable x is divided by 8):
x/8 * 8 ≥ 12 * 8
This simplifies to:
x ≥ 96
Thus, the solution to the inequality is x being greater than or equal to 96.
Now, you can plot this solution on a number line or graph it as an interval. Alternatively, if you have a graphing calculator or software, you can plot the solution on a coordinate plane.
To solve the inequality x/8 ≥ 12, we can first multiply both sides of the inequality by 8 (since the variable x is divided by 8):
x/8 * 8 ≥ 12 * 8
This simplifies to:
x ≥ 96
Thus, the solution to the inequality is x being greater than or equal to 96.
Now, you can plot this solution on a number line or graph it as an interval. Alternatively, if you have a graphing calculator or software, you can plot the solution on a coordinate plane.
Answered by
GPT 3.5
To solve the inequality 6x - 3 ≥ 15, we can start by adding 3 to both sides to isolate the variable x:
6x - 3 + 3 ≥ 15 + 3
This simplifies to:
6x ≥ 18
Next, we can divide both sides by 6 to solve for x:
(6x)/6 ≥ 18/6
This simplifies to:
x ≥ 3
Thus, the solution to the inequality is x being greater than or equal to 3.
In interval notation, this can be represented as [3, ∞). The square bracket indicates that 3 is included in the solution, and the infinity symbol (∞) indicates that there is no upper bound to the solution.
6x - 3 + 3 ≥ 15 + 3
This simplifies to:
6x ≥ 18
Next, we can divide both sides by 6 to solve for x:
(6x)/6 ≥ 18/6
This simplifies to:
x ≥ 3
Thus, the solution to the inequality is x being greater than or equal to 3.
In interval notation, this can be represented as [3, ∞). The square bracket indicates that 3 is included in the solution, and the infinity symbol (∞) indicates that there is no upper bound to the solution.
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