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Nezavi [6.7K]
3 years ago
12

Solve -3(x-2)<8 or -3(x-2) > 12

Mathematics
1 answer:
vivado [14]3 years ago
4 0

Answer:

x = (14/3,6)

Step-by-step explanation:

-3(x-2) < 8

taking negative sign to opposite side relational operator changes.

3(x-2) >8

Similarly

3(x-2)<12

Now

8< 3(x-2) < 12

dividing by 3

8/3 < x-2 < 4

adding 2

8/3 +2 < x < 6

Therefore x = (14/3, 6)

Hope it helps ...

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For g(x)=1/2x-11, find x when g(x)=-5
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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  5. Division
  6. Addition
  7. Subtraction
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Equality Properties

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Step-by-step explanation:

<u>Step 1: Define</u>

g(x) = 1/2x - 11

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<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute:                    -5 = 1/2x - 11
  2. Isolate <em>x</em> term:              6 = 1/2x
  3. Isolate <em>x</em>:                       12 = x
  4. Rewrite:                        x = 12
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