-|x|+2>=-sqrt(4-x^2)

Input

-abs(x) + 2>=-sqrt(4 - x^2)

Alternate form

sqrt(4 - x^2) + 2>=abs(x)
2 - abs(x)>=-sqrt(2 - x) sqrt(x + 2)

Alternate form assuming x>0

sqrt(4 - x^2) + 2>=x
2 - x>=-sqrt(4 - x^2)

Solution

-2<=x<=2

Number line

Number line

Interval notation

[-2, 2]

Integer solution

x = ± 2

x = ± 1

x = 0