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Erin08

  • 2 years ago

Find the solutions of the inequality. | x - 5 | ≥ 3

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  1. myininaya
    • 2 years ago
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    \[|f(x)| \ge 3 => f(x) \ge 3 \text{ or } f(x) \le -3 \] Think about it : Say we call this line f(x) -----|-----------|-------- -3 3 We want the distance to be greater than 3 That means we want f(x) to be ******] [**********

  2. myininaya
    • 2 years ago
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    Since f(x)=x-5 we have \[x-5 \ge 3 \text{ or } x-5 \le -3 \] You need to solve both of these inequalities for x

  3. erica123
    • 2 years ago
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    first you set up both equation x-5≥ 3 x-5≥ -3

  4. erica123
    • 2 years ago
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    then you bring over the 5 to the 3 and -3 so +5 and +5

  5. aussy123
    • 2 years ago
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    |dw:1337209338346:dw| I believe this will help you understand

  6. myininaya
    • 2 years ago
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    @erica123 that last inequality you have should be the other way around

  7. erica123
    • 2 years ago
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    yeah sorry i forgot

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