Can someone provide explainations and answers ? Pls 1. Match the following Engli

Question

Can someone provide explainations and answers ? Pls

1. Match the following English sentences with the appropriate first-order formulas a) The largest element in a set S is c b) All the elernents in the sequence ai, a2,… , an are distinct. c) The element z occurs exactly once in the sequence ai, aa-… an. d) The sequence ai, a2,... ,an is in increasing order e) Every element in set S is larger than every element in set T. f) There is an element in S that is larger than every element in T. g) Some element of S is larger than some element of T 1.9 None of the above

Explanation / Answer

for 'a' formula in 1.5 is the right answer.

explanation: 1.5 states that for some value (x belongs to S) and (for every y belongs to S x is greater tha or equal to y)

which means that x is greater than other values in S.

example: consider the set S as {2,4,10,1,18,1}

accoding to above statement consider x as 18 and now compare with every other value by taking one each at a time and storing it in y (as in the statement it defined as or each y belong to S)

for 'b' formula in '1.8' is the right answer

Explanation: for each i and j where i is greater than or equal to 1 and j is less than or equal to n and value of i is less than j and the value at postion i and position j in th set are not equal.

Which states that any two values you take from the set S are distinct and not equal.

for 'c' formula in 1.6 is the right answer

Explanation: According to the formula we are taking one value each at a time form the set and comparing with other elements in the set (except the element we have taken in the first part) and that elment is not equals to any other element in the set which means they are uinique.

for 'd' formula in 1.7 is the right answer

explanation: According to formula take two elements in the set at the positions i & j where i<j and element at i is less than element at j which means that all the elements in increasing order so the whole set is in increasing order.

for 'e' formula in 1.3 is the right answer

explanation:it states that for every s belongs to set S and for every t belongs T s is greater that t which means that any element you take from set S is greater than every elemsnt in SET T.

for 'f' formula in 1.1 is the right answer

explanation: formula states that an element 's' belongs t set 'S' is greater than for every element 't' belongs to set 'T' which implies that some element in set S is greater than every element in set T.

for 'g' formula in 1.2 is the right answer.

explanation: formula sates that some element e belongs to S is greater than some element t belons to set T.

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