Question

Solve the inequality 6x+9>57 . Which of the following graphs shows the solution?(1 point)

all 4 graphs are marked from positive 18 all the way down to negative 2

the first number line is dotted from negative 2 and down to 8

the second number line is dotted from positive 18 down to positive 8

the third number line is dotted from positive 18 down to positive 11

the last number line is dotted from negative 2 all the way to positive 11

Answer 1

wrong one of these are correct

Answer 2

To solve the inequality \(6x + 9 > 57\), we first need to isolate \(x\):

1. Subtract 9 from both sides:
\[
6x > 57 - 9
\]
\[
6x > 48
\]

2. Now, divide both sides by 6:
\[
x > \frac{48}{6}
\]
\[
x > 8
\]

Thus, the solution to the inequality is \(x > 8\).

Now, we can analyze the graph options provided:

1. **Graph 1**: Dotted from \(-2\) down to \(8\) (not a solution).
2. **Graph 2**: Dotted from \(18\) down to \(8\) (not a solution).
3. **Graph 3**: Dotted from \(18\) down to \(11\) (not a solution).
4. **Graph 4**: Dotted from \(-2\) all the way to \(11\) (not a solution).

None of the descriptions of the graphs provided indicate a correct representation of the solution \(x > 8\). A correct graph would show a dotted line starting at \(8\) and extending to the right towards positive infinity.

If this graph is not explicitly listed in your options, please verify or check for alternative options.