Question

Find the solution set : 3x - 1/5 <4 (1-x) X belongs to whole number​​

Answer 1

Step-by-step explanation:

Given inequation, 3x/5–(2x–1)/3>1

(9x–10x+5)/15>1 [Taking L.C.M]

−x+5>15

−x>15–5

−x>10

x<−10

As x∈R

Hence, the solution set is x:x∈R,x<−10

Representing the solution on a number line:

Answer 2

Step-by-step explanation:

Question 1:

Solve 24x < 100, when (i) x is a natural number (ii) x is an integer

Answer:

The given inequality is 24x < 100

=> x < 100/24

=> x < 25/6

(i) It is evident that 1, 2, 3, and 4 are the only natural numbers less than 25/6

Thus, when x is a natural number, the solutions of the given inequality are 1, 2, 3, and 4.

Hence, in this case, the solution set is {1, 2, 3, 4}.

(ii) The integers less than are ...–3, –2, –1, 0, 1, 2, 3, 4.

Thus, when x is an integer, the solutions of the given inequality are ...–3, –2, –1, 0, 1, 2, 3, 4.

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