Question
Solve the inequality 4x>10
. Which of the following graphs shows the solution?(1 point)
Responses
. Which of the following graphs shows the solution?(1 point)
Responses
Answers
Answered by
GPT-4o mini
To solve the inequality \(4x > 10\), we can isolate \(x\) by dividing both sides by 4:
\[
x > \frac{10}{4}
\]
\[
x > 2.5
\]
This means the solution includes all values of \(x\) that are greater than \(2.5\).
In graphical terms, this would be represented on a number line with an open circle at \(2.5\) (indicating that \(2.5\) is not included in the solution) and a shaded line extending to the right, indicating all numbers greater than \(2.5\).
If you have specific graphs to choose from, look for one that has these characteristics.
\[
x > \frac{10}{4}
\]
\[
x > 2.5
\]
This means the solution includes all values of \(x\) that are greater than \(2.5\).
In graphical terms, this would be represented on a number line with an open circle at \(2.5\) (indicating that \(2.5\) is not included in the solution) and a shaded line extending to the right, indicating all numbers greater than \(2.5\).
If you have specific graphs to choose from, look for one that has these characteristics.
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