Given the inequality:
![13>-4x-7](https://img.qammunity.org/2023/formulas/mathematics/college/kbpd6jky0m4ye8lmifrdxanlr8a0ws4zi7.png)
• You can solve it as follows:
1. Apply the Addition Property of Inequality by adding 7 to both sides of the inequality:
![13+(7)>-4x-7+(7)](https://img.qammunity.org/2023/formulas/mathematics/college/y7uim6los19z3iplfr2thvatt5wxmimw1d.png)
![20>-4x](https://img.qammunity.org/2023/formulas/mathematics/college/avhofk8390grfg9360nvrw8cc3g44or48j.png)
2. Apply the Division Property of Inequality by dividing both sides of the inequality by -4 (since you are dividing both sides by a negative number, the direction of the inequality symbol changes):
![\begin{gathered} (20)/(-4)<(x)/(-4) \\ \\ -53. You can rewrite the solution in this form:[tex]x>-5]()
• In order to graph the solution on the Number Line, you can follow these steps:
1. Since the symbol is:
![>](https://img.qammunity.org/2023/formulas/mathematics/high-school/vm72or96lunevnyq4e7eu9t9xn5rhq58mw.png)
You need to draw an open circle over the number -5.
2. Draw a line from the circle to the right.
Then, you get:
Hence, the answer is:
• Solution:
![x>-5](https://img.qammunity.org/2023/formulas/mathematics/college/w6dxfvcs3491x7fx7x1fflzky31p98f4ws.png)
• Number Line: