885122bah
885122bah 885122bah
  • 08-12-2021
  • Mathematics
contestada

Solve each inequality

2x + 2 - 6x > -4 - 7x


1 + 7n ≤ 15 or -2n - 2 ≤ - 18

Please show all work :D

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 08-12-2021

Answer:

  1. x > -2
  2. n ≤ -2 or n ≥ 8

Step-by-step explanation:

1.

Add 7x-2 to both sides and collect terms.

  2x +2 -6x +7x -2 > -4 -7x +7x -2

  3x > -6

  x > -2 . . . . . . . divide by 3

__

2.

Solve these one at a time, and form the union of the answers.

  1 +7n ≤ 15 . . . .given

  7n ≤ 14 . . . . . . subtract 1

  n ≤ 2 . . . . . . . divide by 7

__

  -2n -2 ≤ -18 . . . given

  -2n ≤ -16 . . . . . add 2

  n ≥ 8 . . . . . . . . divide by -2

The solution is n ≤ -2 or n ≥ 8.

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