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Semenov [28]
2 years ago
6

Micheal solved this inequality as shown: step 1: -6(x + 3) + 10 < -2 step 2: -6x - 18 + 10 < -2 step 3: -6x - 8 < -2 st

ep 4: -6x < 6 step 5: x > -1. what property justifies the work shown between step 3 and 4?
Mathematics
1 answer:
Anastaziya [24]2 years ago
8 0
<h3>Answer:   addition property of inequality</h3>

================================================

Explanation:

These are the steps to focus on

step 3: -6x - 8 < -2

step 4: -6x < 6

The move from the third step to the fourth step has us adding 8 to both sides. Therefore, we use the addition property of inequality.

That property has four forms

  1. If a > b then a + c > b+c
  2. If a < b then a+c < b+c
  3. If a \ge b then a + c \ge b+c
  4. If a \le b then a+c \le b+c

It's similar to the idea of starting with a = b, then adding c to both sides to get a+c = b+c

We add the same thing to both sides to keep things balanced.

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