Could someone please check my work

Prove: 1. Let f: R - R and define | f| : R - R by If|(x) = If(x) | . Suppose that f is continuous at c E D . Prove that If| is continuous at c . Suppose f: R -+ R and let |f| : R - R be defined by | f| (ac) = If(x) | and suppose f is continuous at c E D . Since f is continuous at c , then by definition 5.2.1, Jar . 3 > 1 (0) f - ( 20 ) f 1 + 9 > 10 - 21'( = = A 1247 yons 0