Solve the linear Inequations in R.Solve: -4x > 30, when

1.	Solve the linear Inequations in R.Solve: -4x > 30, when
Answer» 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 ∅.

Answer»

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 ∅.

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