Solve the given inequality in terms of intervals: −x2≤16

Answer 1

Greetings! Lets solve this shall we ?

So, we must find the intervals of which solutions exist. So, we solve for x such that

-x² ≤ 16.................First, we divide by -1 such that

x² ≥ 16.................Then, we take the square root of both sides such that

x ≥ ± 4i

Now the equation in interval notation yields as such,

[-4i, 4i] ∪ [4i, ∞)

I hope this helped!