dylan9070 dylan9070
  • 02-05-2019
  • Mathematics
contestada

7x+6(x+10)>5 (-3-3x)+3x​

Respuesta :

gmany
gmany gmany
  • 06-05-2019

Answer:

[tex]\large\boxed{x>-3\to x\in(-3,\ \infty)}[/tex]

Step-by-step explanation:

[tex]7x+6(x+10)>5(-3-3x)+3x\qquad\text{use the distributive property}\\\\7x+(6)(x)+(6)(10)>(5)(-3)+(5)(-3x)+3x\\\\7x+6x+60>-15-15x+3x\qquad\text{combine like terms}\\\\(7x+6x)+60>(-15x+3x)-15\\\\13x+60>-12x-15\qquad\text{subtract 60 from both sides}\\\\13x>-12x-75\qquad\text{add 12x to both sides}\\\\25x>-75\qquad\text{divide both sides by 25}\\\\x>-3[/tex]

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