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anonymous

  • one year ago

Which of the following is not a way to represent the solution of the inequality 5(x + 2) greater than or equal to 7x + 2(x - 1)? A number line with a closed circle on 3 and shading to the right A number line with a closed circle on 3 and shading to the left 3 greater than or equal to x x less than or greater to 3

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  1. phi
    • one year ago
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    you have to simplify your relation first: \[ 5(x + 2) \ge 7x + 2(x - 1)\] distribute the 5 on the left side (that means multiply 5 times each term inside the parens) and distribute the 2 on the right side. You get: \[ 5x+10 \ge 7x+2x-2 \] on the right side you have 7 x's add 2 more x's. that is 9x's \[ 5x+10 \ge 9x-2 \] now add -5x to both sides \[ 5x-5x+10 \ge 9x-5x-2 \]

  2. phi
    • one year ago
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    that simplifies to \[ 10 \ge 4x-2 \] add 2 to both sides to get \[ 12 \ge 4 x \] finally , divide both sides by 4 \[ 3 \ge x \] or \[ x \le 3 \] which means the same thing

  3. phi
    • one year ago
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    I guess if we just read the 4 choices, we could figure out that 3 of them mean the same thing. the one we *do not* want is the one that shows x is bigger than 3 (in other words we do not want to shade numbers bigger than 3)

  4. anonymous
    • one year ago
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    so than b would be the answer right? @phi

  5. anonymous
    • one year ago
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    @Michele_Laino

  6. anonymous
    • one year ago
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    @welshfella

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