13. Solve -4x>30 When x is (a) Real Number (b) Integer
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Given as -4x > 30 Therefore when we divide by 4, we get -4x/4 > 30/4 -x > 15/2 x < – 15/2 (i) Given as x ∈ R Whenever x is a real number, the solution of the given inequation is (-∞, -15/2). (ii) Given as x ∈ Z Whenever, -8 < -15/2 < -7 Therefore when, when x is an integer, the maximum possible value of x is -8. The solution of the given inequation is {…, –11, –10, -9, -8}. (iii) Given as x ∈ N As we know that natural numbers start from 1 and can never be negative, when x is a natural number, the solution of the given inequation is ∅.Read more on Sarthaks.com - https://www.sarthaks.com/799332/solve-the-linear-inequations-in-r-solve-4x-30-when
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negative integer from -1
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