anonymous
  • anonymous
Eduardo solved the following inequality, and his work is shown below: −5(x + 4) + 21 ≥ −3 + 4(x − 8) −5x − 20 + 21 ≥ −3 + 4x − 32 −5x + 1 ≥ 4x − 35 −9x ≥ −36 x ≥ 4 What mistake did Eduardo make in solving the inequality?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
I cant find it
anonymous
  • anonymous
Eduardo made one simple mistake with the answer and a lot of us do it. xD Anyway did you know that when you divide a number by a negative number, the inequality sign changes direction? So, this > would become <. Or, this ≥ would become ≤. Eduardo divided -36 by -9. 9 is negative so we have to change the sign. Therefore, his answer should have been: x ≤ 4, as opposed to x ≥ 4. Does that make sense? (:

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