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

Question

?(1 point)
Responses

An illustration shows a number line ranging from negative 1 to 3 in increments of 1. An open point is marked at 1. A leftward arrow is marked on the number line that originates at the open point and goes beyond negative 1.
Image with alt text: An illustration shows a number line ranging from negative 1 to 3 in increments of 1. An open point is marked at 1. A leftward arrow is marked on the number line that originates at the open point and goes beyond negative 1.

An illustration shows a number line ranging from negative 1 to 3 in increments of 1. A closed point is marked at 1. A rightward arrow is marked on the number line that originates at the closed point and goes beyond 3.
Image with alt text: An illustration shows a number line ranging from negative 1 to 3 in increments of 1. A closed point is marked at 1. A rightward arrow is marked on the number line that originates at the closed point and goes beyond 3.

An illustration shows a number line ranging from negative 1 to 3 in increments of 1. A closed point is marked at 1. A leftward arrow is marked on the number line that originates at the closed point and goes beyond negative 1.
Image with alt text: An illustration shows a number line ranging from negative 1 to 3 in increments of 1. A closed point is marked at 1. A leftward arrow is marked on the number line that originates at the closed point and goes beyond negative 1.

An illustration shows a number line ranging from negative 1 to 3 in increments of 1. An open point is marked at 1. A rightward arrow is marked on the number line that originates at the open point and goes beyond 3.
Image with alt text: An illustration shows a number line ranging from negative 1 to 3 in increments of 1. An open point is marked at 1. A rightward arrow is marked on the number line that originates at the open point and goes beyond 3.
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Answer 1

To solve the inequality \(9x + 3 > 12\):

1. Subtract 3 from both sides: \[ 9x > 9 \]

2. Divide both sides by 9: \[ x > 1 \]

The solution to the inequality is \(x > 1\).

On a number line, this is represented by an open point at 1 (indicating that 1 is not included in the solution) and a rightward arrow starting from the open point, indicating all numbers greater than 1.

So, the correct graph representation is:

An illustration shows a number line ranging from negative 1 to 3 in increments of 1. An open point is marked at 1. A rightward arrow is marked on the number line that originates at the open point and goes beyond 3.

This means the final response is the fourth option: An illustration shows a number line ranging from negative 1 to 3 in increments of 1. An open point is marked at 1. A rightward arrow is marked on the number line that originates at the open point and goes beyond 3.