gx Greaterthanorequalto 0 x epsilon infinity 1 union 0 1 uni

g(x) Greaterthanorequalto 0 x epsilon (-infinity, -1) union [0, 1) union [2, infinity) x epsilon (-1, 0] union (1, 2] x epsilon [0, 1) union [2, infinity) x epsilon (-infinity, -1) union [0, 1)

Solution

g(x)>=0 indicates the portion of graph on and above x axis

from the given graph the interval that describes g(x)>=0 is

(-,-1)U[0,1)U[2,)

 g(x) Greaterthanorequalto 0 x epsilon (-infinity, -1) union [0, 1) union [2, infinity) x epsilon (-1, 0] union (1, 2] x epsilon [0, 1) union [2, infinity) x ep

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