Please answer the question with showed working. DO NOT copy paste some definition. I am sick of answers on here wasting my time and money by copy and pasting something vaguely related. I want to understand how to answer the question. That is what I am paying for.

Definition 5.35. Let X be a set and let R be a set of words in X UX-1. We say a group G has generators X and relations Rif G ~ F/K where F is the free group on X and K = RF. In this case we say (X | R) is a presentation for G. We often write G = (X|R). Let G = (x,y,z | (xyz-1)2, (xy-22-1)2, (x-ly-1m)2). Show that G is an infinite group. Definition 5.35. Let X be a set and let R be a set of words in X UX-1. We say a group G has generators X and relations Rif G ~ F/K where F is the free group on X and K = RF. In this case we say (X | R) is a presentation for G. We often write G = (X|R). Let G = (x,y,z | (xyz-1)2, (xy-22-1)2, (x-ly-1m)2). Show that G is an infinite group