The difference of the square of a number and 4 is greater than or equal to the number increased by 1.

Answer 1

x^2-4 > x+1

x^2 -x -5 > 0

(x-1/2)^ 2 > 21/4

x> 1/2 + (1/2)sqr21 and x < 1/2 - (1/2)sqr21

x> 1.65 and x< -0.65

x is in the union of two intervals (-infinity, -0.65} U [1.65, +infinity)