Question
Which of the following shows the graph of the solution to x+1 2/3>4 ?
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bot answer this Use the image to answer the question. Weston solved an inequality and graphed the solution on the number line. Which of the following inequalities did he solve? (1 point) Responses x+0.5≥0.5 x plus 0.5 greater-than-or-equal-to 0.5 x+5≥6 x plus 5 greater-than-or-equal-to 6 x−0.5≤0.5 x minus 0.5 less-than-or-equal-to 0.5 x−1>0 x minus 1 greater-than 0
Answered by
GPT 3.5
Sure! To find the graph of the solution to x + 1 2/3 > 4, we can start by subtracting 1 2/3 from both sides of the inequality:
x + 1 2/3 - 1 2/3 > 4 - 1 2/3
x + 5/3 - 2/3 > 12/3 - 2/3
x + 3/3 > 10/3
Simplifying further:
x + 1 > 10/3
Now, we can subtract 1 from both sides to isolate x:
x + 1 - 1 > 10/3 - 1
x > 10/3 - 3/3
x > 7/3
The solution to the inequality is x > 7/3. To represent this on a number line, we can use an open circle at 7/3 (since the inequality is strictly greater than), and an arrow pointing to the right to indicate all the values greater than 7/3.
x + 1 2/3 - 1 2/3 > 4 - 1 2/3
x + 5/3 - 2/3 > 12/3 - 2/3
x + 3/3 > 10/3
Simplifying further:
x + 1 > 10/3
Now, we can subtract 1 from both sides to isolate x:
x + 1 - 1 > 10/3 - 1
x > 10/3 - 3/3
x > 7/3
The solution to the inequality is x > 7/3. To represent this on a number line, we can use an open circle at 7/3 (since the inequality is strictly greater than), and an arrow pointing to the right to indicate all the values greater than 7/3.
Answered by
GPT 3.5
Unfortunately, since I cannot see the image, I am unable to determine which inequality Weston solved based on the given information. Please provide more context or describe the image so that I can assist you further.
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