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Math Help - What is the solution to 2x + 3 ≥ x - 5?

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    Senior Member vaironxxrd's Avatar
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    What is the solution to 2x + 3 ≥ x - 5?

    What is the solution to 2x + 3 ≥ x - 5?

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    Take x from both sides then take 3 from both sides.
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    Senior Member vaironxxrd's Avatar
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    Quote Originally Posted by pickslides View Post
    Take x from both sides then take 3 from both sides.
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    Quote Originally Posted by vaironxxrd View Post
    What is the solution to 2x + 3 ≥ x - 5?

    2x+3\ \ge\ x-5\Rightarrow\ x+x-5+8\ \ge\ x-5

    \Rightarrow\ (x+8)+x-5\ \ge\ x-5

    Both sides are equal if x+8=0

    The left-hand side is greater than the right-hand side if x+8>0

    Therefore the solution is x+8\ \ge\ 0\Rightarrow\ x\ \ge\ -8
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