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help_people

  • one year ago

Which graph represents the solutions to the inequality |2x - 6| < 4? number line with a closed circle on 1, shading to the left and a closed circle on 5, shading to the right number line with a closed circle on 1, shading to the right and a closed circle on 5, shading to the left number line with an open circle on 1, shading to the left and an open circle on 5, shading to the right number line with an open circle on 1, shading to the right and an open circle on 5, shading to the left

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  1. help_people
    • one year ago
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    @hero

  2. welshfella
    • one year ago
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    the vertical lines around 2x-6 means the absolute value of 2x - 6, whether the expression is negative or positive this gives us 2 inequalities:- 2x - 6 < 4 and 2x - 6 > -4 can you solve these?

  3. nuttyliaczar
    • one year ago
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    First of all, we can eliminate two choices because the inequality is simply a "less than" sign. This means we don't include the very last number, which means an open circle is needed. I suggest temporarily changing the sign to an equal sign to solve for the highest and lowest x values since the answer is everything in between them (and not the end points as just discussed).

  4. help_people
    • one year ago
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    i believe the answer is d @welshfella @nuttyliaczar

  5. welshfella
    • one year ago
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    you solved the inequalities then?

  6. nuttyliaczar
    • one year ago
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    Also a good practice is to see what the different equations are for each graph. There is one tiny difference between the equations for graphs C and D, do you know what it is? (And yes you are correct)

  7. help_people
    • one year ago
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    ok may you busy help me with another ? @nuttyliaczar @welshfella

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