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stiv31 [10]
2 years ago
13

Solve each inequality

Mathematics
1 answer:
forsale [732]2 years ago
4 0

Answer:

  1. x > -2
  2. n ≤ -2 or n ≥ 8

Step-by-step explanation:

<h3>1.</h3>

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

__

<h3>2.</h3>

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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