fkathleenb fkathleenb
  • 03-07-2019
  • Mathematics
contestada

−2x+30>4x+12-2x+30>4x+12
Express the set using interval notation.

Respuesta :

alinakincsem
alinakincsem alinakincsem
  • 03-07-2019

Answer:

[-∞, 3)

Step-by-step explanation:

We are given the following inequality which we are to express as a set using the interval notation:

[tex] - 2 x + 3 0 > 4 x + 1 2 [/tex]

Rearranging the inequality by adding the like terms together to get:

[tex] - 2 x - 4 x < 1 2 - 3 0 [/tex]

[tex] - 6 x < - 1 8 [/tex]

[tex]x<\frac{-18}{-6}[/tex]

[tex]x<3[/tex]

Since the values of [tex]x[/tex] are lesser than [tex]3[/tex] so we can express this in interval notation as:

[-∞, 3)

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