sjtorres12oxsd2r sjtorres12oxsd2r
  • 19-10-2018
  • Mathematics
contestada

What is the solution to the inequality?

-2(X+3) +5x >9

Respuesta :

carlosego
carlosego carlosego
  • 19-10-2018

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]

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