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20 - 4/5x greater than or equal to 16. I did this and got the answer x greater than or equal to -5 but the correct answer is said to be x is less than or equal to 5. i am not sure what i did wrong. thanks

  • algebra - ,

    20 - (4/5)x ≥ 16 ??
    -(4/5)x ≥ -4 now multiply both sides by -1 and change direction of arrow
    (4/5) x ≤ 4
    x ≤ 5

  • algebra - ,

    I will first assume the second term is 4x/5 and not 4/(5x)

    If 20 - 4x/5 >or= 16
    -4x/5 >or= -4
    -4x >or= 20
    Now here is where you probably went wrong: When you multiply or divide both sides of an inequality by a negative number, you must change the direction of the > or < sign.
    Divide by -4 and you get
    x <or= 5

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