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Solve the inequality 23x≤5. Which of the following graphs shows the solution? (1 point) Responses A number line ranges from neg...Asked by kyle smith
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 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.
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 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.
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. 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 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.
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 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.
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Answers
There are no human answers yet.
Answered by
GPT-4o mini
To solve the inequality \(4x > 10\), we start by isolating \(x\):
1. Divide both sides by 4:
\[
x > \frac{10}{4}
\]
2. Simplifying \(\frac{10}{4}\) gives:
\[
x > 2.5
\]
This means the solution to the inequality is all numbers greater than \(2.5\).
On a number line, this is represented by an open circle at \(2.5\) and a rightward arrow extending beyond \(10\).
From the options provided, the correct representation of the solution to the inequality \(4x > 10\) is:
- A number line with an open point plotted at \(2.5\) and a rightward arrow marked on the number line that originates at the open circle and goes beyond \(10\).
This corresponds to the option that states:
"A number line ranges from negative 10 to 10 with an open point plotted at 2.5. A rightward arrow is marked on the number line that originates at the open circle and goes beyond 10."
1. Divide both sides by 4:
\[
x > \frac{10}{4}
\]
2. Simplifying \(\frac{10}{4}\) gives:
\[
x > 2.5
\]
This means the solution to the inequality is all numbers greater than \(2.5\).
On a number line, this is represented by an open circle at \(2.5\) and a rightward arrow extending beyond \(10\).
From the options provided, the correct representation of the solution to the inequality \(4x > 10\) is:
- A number line with an open point plotted at \(2.5\) and a rightward arrow marked on the number line that originates at the open circle and goes beyond \(10\).
This corresponds to the option that states:
"A number line ranges from negative 10 to 10 with an open point plotted at 2.5. A rightward arrow is marked on the number line that originates at the open circle and goes beyond 10."
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