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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? (2 points)

Respuesta :

sqdancefan

Answer:

  the comparison was not reversed when dividing by -9

Step-by-step explanation:

It looks like Eduardo's steps might be ...

  −5(x + 4) + 21 ≥ −3 + 4(x − 8)

  −5x − 20 + 21 ≥ −3 + 4x − 32  . . . .  correct

  −5x + 1 ≥ 4x − 35  . . . .  correct

  −9x ≥ −36  . . . .  correct

  x ≥ 4  . . . . .  should be x ≤ 4

Dividing by -9 should reverse the comparison symbol.

Answer:

should be x ≤ 4

Step-by-step explanation: