every planar connected simple graph G has at least 3 vertices of degree no more than 5.

every planar connected simple graph G with 11 or fewer vertices has at least 1 vertex of degree no more than 5.

Question: show that every planar simple graph with 11 or fewer vertices is 5 colourable.

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im not sure how to prove the first statment for the 3 vertices but I need to know how to prove the last statement.

Thanks.