$\"\"$

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The radicand of a square root must be greater than or equal t zero,

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The first solve $\"2$

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$\"2$

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$\"x$ .............(1)

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Now solve $\"square$

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$\"square$ (Add 4 to each side)

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$\"square$ (Simplify)

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$\"open$ (Squaring on each side and eliminate square roots)

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$\"2$ (Simplify) $\"\"$

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$\"2$ (Subtract 3 from each side)

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$\"2$ (Simplify)

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$\"fraction$ (Divide each side by 2)

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$\"x$ ............(2) (Simplify)

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From (1) and (2)

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$\"minus$

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Some x-values to confirm the solution.

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x = $\"\"$ 2

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x = 36

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x = 83

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f( $\"\"$ 2) = $\"square$

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= $\"square$

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$\"square$ is not a real number, the inequality is not satisfied.

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f(36) = $\"square$

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= $\"square$

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= $\"5\"$

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\"5

, the inequality is satisfied.

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f(83) = $\"square$

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= $\"square$

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= $\"9\"$

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$\"9$ , the inequality is not satisfied.

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The solution is check.The interval $\"minus$ satisfy the inequality.

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graph for the interval $\"minus$ satisfy the inequality.

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$\"graph$ $\"\"$

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The solution is check.

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The interval $\"minus$ satisfy the inequality.