Asked by drakeboing
Which of the following is a graph to the solution to the inequality 9x+3>12 ?
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Answered by
GPT-4o mini
To solve the inequality \( 9x + 3 > 12 \), you first need to isolate \( x \). Here are the steps:
1. Subtract 3 from both sides:
\[
9x > 12 - 3
\]
\[
9x > 9
\]
2. Divide both sides by 9:
\[
x > 1
\]
The solution to the inequality is \( x > 1 \). This means that the graph represents all the values of \( x \) that are greater than 1.
On a number line:
- Draw an open circle on 1 (indicating that 1 is not included in the solution).
- Shade the line to the right of 1 to indicate all numbers greater than 1.
If you have specific graph options, look for the one that shows an open circle at 1 with shading extending to the right.
1. Subtract 3 from both sides:
\[
9x > 12 - 3
\]
\[
9x > 9
\]
2. Divide both sides by 9:
\[
x > 1
\]
The solution to the inequality is \( x > 1 \). This means that the graph represents all the values of \( x \) that are greater than 1.
On a number line:
- Draw an open circle on 1 (indicating that 1 is not included in the solution).
- Shade the line to the right of 1 to indicate all numbers greater than 1.
If you have specific graph options, look for the one that shows an open circle at 1 with shading extending to the right.
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