Solve for xx and graph the solution on the number line below.
9, is less than, 7, plus, x
9<
7+x
Answer
Attempt 1 out of 3
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Inequality Notation:
Number Line:
0
20
Click and drag to plot line.
-12
-10
-8
-6
-4
-2
0
2
4
6
8
10
12
To solve the inequality 9 < 7 + x, we can subtract 7 from both sides of the inequality to isolate x:
9 - 7 < 7 + x - 7
This simplifies to:
2 < x
In inequality notation, this is written as: x > 2
This means that x must be greater than 2 on the number line. The solution on the number line would be represented by a line starting just to the right of 2 and extending to infinity. On a number line that goes from -12 to 12, the graph would not include the number 2 itself (since x has to be greater than 2, not equal to) and would be represented by an open circle at 2 with a line continuing to the right.
Here is a textual representation of the number line with the solution:
```
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12
o----------------------------->
```
In this representation, "o" indicates an open circle at the number 2, and the arrow to the right indicates that all values greater than 2 are solutions to the inequality. The open circle means that the number 2 itself is not included in the solution set.