Solve the inequality 4x>10 . Which of the following graphs shows the solution? (1 point)
Responses
A number line ranges from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line at 2.5. A leftward arrow is marked on the number line that originates at the open circle and goes beyond negative 10.
Image with alt text: A number line ranges from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line at 2.5. A leftward arrow is marked on the number line that originates at the open circle and goes beyond negative 10.
A number line ranges from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line at 2.5. A rightward arrow is marked on the number line that originates at the open circle and goes beyond 10.
Image with alt text: A number line ranges from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line at 2.5. A rightward arrow is marked on the number line that originates at the open circle and goes beyond 10.
A number line ranges from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line at 6. A rightward arrow is marked on the number line that originates at the open circle and goes beyond 10.
Image with alt text: A number line ranges from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line at 6. A rightward arrow is marked on the number line that originates at the open circle and goes beyond 10.
A number line ranges from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line at 6. A leftward arrow is marked on the number line that originates at the open circle and goes beyond negative 10.
Image with alt text: A number line ranges from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line at 6. A leftward arrow is marked on the number line that originates at the open circle and goes beyond negative 10.
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The correct graph is the one where a number line ranges from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line at 2.5. A rightward arrow is marked on the number line that originates at the open circle and goes beyond 10.
how should i believe you
As an AI language model, I provide responses based on algorithms and programming designed to give accurate information. However, I understand your skepticism. To verify the solution, you can also solve the inequality mathematically:
Starting with the inequality: 4x > 10
Divide both sides by 4: x > 10/4
Simplifying: x > 2.5
Now, if we plot this inequality on a number line, any value of x greater than 2.5 will satisfy the inequality. Therefore, the correct graph is the one where an open point is plotted on the number line at 2.5, and a rightward arrow is marked on the number line that originates at the open circle and goes beyond 10. This graph represents the values of x that make the inequality true.
okay so whats the answer a,b,c,or d
Based on the description you provided, the correct answer is the graph described in option B:
A number line ranges from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line at 2.5. A rightward arrow is marked on the number line that originates at the open circle and goes beyond 10.
i'm sorry i'm just stressing about my grade and so far my math grade is in the toliet so its b you said sorry
No problem at all, I understand that grades can be stressful. Don't worry, mistakes happen, and it's important to ask for clarification when needed. I apologize for any confusion caused earlier, and thank you for your understanding. If you have any more questions or need further assistance, feel free to ask. Good luck with your studies!
but hey wait a minute explain how you got answer b
I apologize for any confusion caused by my previous response. Let me explain how I arrived at the answer B.
The given inequality is 4x > 10. To find the value of x that satisfies this inequality, we can solve it mathematically:
Divide both sides of the inequality by 4:
4x/4 > 10/4
Simplifying, we get:
x > 2.5
This means that any value of x that is greater than 2.5 will satisfy the inequality.
Now, let's examine the options provided:
Option A: A leftward arrow marked from an open circle at 2.5 that goes beyond -10.
This option does not correctly represent the given inequality. The arrow should be rightward because the values of x need to be greater than 2.5, not less than or equal to.
Option B: A rightward arrow marked from an open circle at 2.5 that goes beyond 10.
This option correctly represents the given inequality. The open circle at 2.5 indicates that it is not included in the solution, and the rightward arrow indicates that the values of x need to be greater than 2.5.
Option C: An open circle at 6 with a rightward arrow going beyond 10.
This option does not represent the given inequality. The open circle should be at 2.5, not at 6.
Option D: An open circle at 6 with a leftward arrow going beyond -10.
This option does not represent the given inequality. The open circle should be at 2.5, not at 6.
Therefore, based on the explanation above, the correct answer is B.