If A stands for 'not equal to' (`cancel(=)`), B stands for greater than (`gt`), C stands for 'not less than' , D stands for 'equal to' (=), E stands for 'not greater than' , F stands for 'less than' (`lt`), then according to the given premises (4x F 5y) and (5y E 3s), which of the following inferences is correct?

Options

A. 4x A3s
B. 4x B 3s
C. 4x C 3s
D. 4x D 3s

Answer

A

Explanation

According to the given information 4x F 5y `implies 4x lt 5y " "` ...(i) and 5y E 3s `implies 5y `not less than 3s `" "`...(ii)
From (i) and (ii), we get 4x < 5y `le` 3s
[`therefore` 5y not greater than 3s `implies` 5y `le` 3s]
From (iii), it is clear that 4x <3s or 4x not equal to 3s
`implies` 4x F 3s or 4x A 3s
Therefore, correct inference = 4x A 3s.