Answer: [tex]x>5[/tex]
Step-by-step explanation:
1. You have the following inequality given in the problem:
[tex]-2(x+3)+5x>9[/tex]
2. You must solve for x.
3. First, apply the Distributive property:
[tex]-2x-6+5x>9[/tex]
4. Now, add the like terms, as following:
[tex]-2x+5x>9+6\\3x>15[/tex]
5. The result is:
[tex]x>\frac{15}{3}\\x>5[/tex]
