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1 June, 18:29

Act as if parentheses were absolute value lines.

(3x+6) - 2>10

How do I find the answer and what is it.

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Answers (2)
  1. 1 June, 21:43
    0
    Let's actually write this inequality with the absolute value operator:

    |3x+6|-2>10. The symbol " | " is to be found at the extreme right of the main keyboard; it's the character you get if you type "capital /."

    I'd simplify the problem first: Add 2 to both sides of the inequality.

    This results in |3x+6|=8.

    Next, I'd factor 3 out of the two terms within the absolute value symbol:

    3|x+2|=8, or |x+2|=8/3

    One way of solving this is as follows: Create 2 equations from |x+2|>8/3. One would be + (x+2) = 8/3; the other would be - (x+2) >8/3.

    Can you solve these two new inequalities for x? Your answer to this problem must contain two inequalities for x values.

    Another approach would be to regard x = - 2 as the center of a circle of radius 8/3. x would have to be smaller than [-2-8/3] or greater than [-2+8/3]. In words, the distance of x from the center (x=-2) must be greater than 8/3 in either case (remembering that "distance" is always positive).
  2. 1 June, 22:09
    0
    |3x+6|>12

    3x+6> 12

    x>2

    - (3x+6) > 12

    -3x-6>12

    -3x>18

    x<6

    Therefore x>2 or x<6
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