Question

4x+6>8x-2

(a) x is real number

(b) x is integer

Answer 1

=>4x+6>8x-2

=>8x-4x -2-6 <0

=>4x -8 <0

=>4(x-2)<0

therefore , x <2 so, (b) x is integer

Answer 2

Given :

4 x + 6 > 8 x - 2

==> 4 x + 6 - 8 x + 2 > 0

==> 4 x - 8 x + 6 + 2 > 0

==> - 4 x + 8 > 0

==> - 4 x > 0 - 8

==> - 4 x > - 8

Dividing both sides by - 4 will change the sign :

==> x < - 8 / - 4

==> x < 2.

Hence :

x is both real number and integer .

x = { 2 , 1`, 0 , - 1, ..................... }

Hope it helps !

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