Let f ( x ) = 3 - ( x + 4 ) + 2 x . How do you find all values of x for which f(x) is at least 6?

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Let             f              (        x        )              =    3    -          (      x      +      4      )        +    2    x   . How do you find all values of x for which f(x) is at least 6?

nuvolor8 · Accepted Answer

Step 1Set             f              (        x        )              ≥    6    ←                 at least 6               ⇒                 greater than or equal to 6            3    -          (      x      +      4      )        +    2    x    ≥    6        3    -    x    -    4    +    2    x    ≥    6        3    -    4    +    2    x    -    x    ≥    6        -    1    +    x    ≥    6        x    ≥    7

Yahir Crane · Accepted Answer

Step 1            f              (        x        )              =    3    -          (      x      +      4      )        +    2    x    ≥    6                or              3    -    x    -    4    +    2    x    ≥    6                or              x    -    1    ≥    6                or              x    ≥    7  Solution:       x    ≥    7   . In interval notation expressed as             [      7      ,      ∞      )

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