Question

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

Answer 1

{-2}

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}