Use De Morgan's Law to write negations for the statements below.

a$.$ Hal is a math major and Hal's sister is a computer science major.

b$.$ Sam is an orange belt and Kate is a red belt.

c$.$ The connector is loose or the machine is unplugged.

d$.$ The train is late or my watch is fast.

e$.$ This computer program has a logical error in the first ten lines or it is being run with an incomplete data set.

f$.$ The dollar is at an all$-$time high and the stock market is at a record law.