Which of the following is a graph to the solution to the inequality 9x+3>12 ?

Answer 1

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.