Question

. If X ϵ {-2 ,-1 ,0 ,1 , 2 , 3 , 4 , 5 } ,find the solution set of the

following inequation :

3x – 8 < 1​

Answer 1

Answer:

We are given two inequalities which has the solution that belongs to { -2, -1, 0, 1, 2, 3, 4, 5 }

Inequality (i)

⇒ 3x + 4 < 15

⇒ 3x < 11

⇒ x < 11/3

⇒ x < 3.666...

Which means every value of x which is less than 3.6 satisfies the given inequality, but it is given in the question that x must belong to the given set of solutions.

So, We have the following solution

⇒ x ∈ { -2, -1, 0, 1, 2, 3 }