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Len [333]
2 years ago
10

Help please!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Len [333]2 years ago
7 0

Answer:

  -1.5 ≤ x < 5

Step-by-step explanation:

The compound inequality resolves to two inequalities:

  • 2x -3 < x +2
  • x +2 ≤ 3x +5

Solving these one at a time, we get ...

<u>2x -3 < x +2</u>

  x < 5 . . . . . . . . add 3 - x to both sides

<u>x +2 ≤ 3x +5</u>

  -3 ≤ 2x . . . . . . add -5-x to both sides

  -1.5 ≤ x . . . . . . .divide by 2

__

The compound inequality that combines these solutions is ...

  -1.5 ≤ x < 5

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