Solve each of the following inequations and represent the solution set on the number line.
`-2xgt5, " where " (i)x inZ," "(ii)x inR`.

Answer

(i) `{-3,-4,-5,-6,…}`
`(##RSA_MATH_XI_C06_E01_003_A01##)`

Explanation

`-2xgt5 rArrx lt(-5)/(2)rArrx lt -2.5.`
(i) All integers less than `-2.5 " are " -3,-4,-5,-6,….`
(ii) Set of all real number less than `-2.5 "are " (-oo,-2.5)`