Question

solve the inequation and find the solution set:2(4x-1)<4(3x+1)when x€N​

Answer 1

Required Answer:-

Given:

• 2(4x - 1) < 4(3x + 1), x ∈ N

To Find:

• The Solution set for this inequation.

Solution:

We have,

➡ 2(4x - 1) < 4(3x + 1)

➡ 8x - 2 < 12x + 4

➡ 8x - 2 - 8x + 2 < 12x + 4 - 8x + 2

➡ 0 < 4x + 6

➡ 4x + 6 > 0 [Shifting to the left changes the sign]

➡ 2(2x + 3) > 0

➡ 2(2x + 3)/2 > 0/2

➡ 2x + 3 > 0

➡ 2x + 3 - 3 > 0 - 3

➡ 2x > -3

➡ 2x/2 > -3/2

➡ x > -1½

As x ∈ N, x must be natural number. Therefore,

➡ x = {1, 2, 3, 4,. . . . . . . }

Answer:

• x = {1, 2, 3, 4,. . . . . }