amaralmross amaralmross
  • 07-09-2022
  • Mathematics
contestada

What is the solution set of the quadratic inequality 4(x + 2)²(less than equal to)0

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sqdancefan
sqdancefan sqdancefan
  • 07-09-2022

Answer:

  {-2}

Step-by-step explanation:

You want the solution set for the inequality 4(x +2)² ≤ 0.

Solution

The expression on the left cannot be negative, but it can be zero when ...

  x +2 = 0   ⇒   x = -2

The only solution to this inequality is x = -2.

Expressed as a set of solutions, we have ...

  x ∈ {-2}

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