kr319315 kr319315
  • 25-09-2020
  • Mathematics
contestada

-2(3x+4)<-4+8 solve the inequality

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24NataliaLopez2
24NataliaLopez2 24NataliaLopez2
  • 25-09-2020

Answer:

Inequality: x > -2

Interval Notation: ( -2, ∞)

Step-by-step explanation:

Answer Link
marcthemathtutor
marcthemathtutor marcthemathtutor
  • 25-09-2020

Answer:

x > -2

Step-by-step explanation:

-2(3x+4)  < -4+8    (evaluate right side)

-2(3x+4)  < 4    (expand the parentheses on the left side using distributive property)

3x(-2) + 4(-2) < 4

-6x - 8 < 4  (add 8 to both sides)

-6x < 4 + 8

-6x < 12   (divide both sides by 6)

-x < (12/6)

-x < 2   (multiply both sides by -1; remember to flip the sign when multiplying both sides by a negative number)

x > -2

Answer Link

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