Question

please give the answer​

Answer 1

Answer:

Given:-

$\frac{1}{3} (x - 1) < \frac{1}{4} (x + 2) < \frac{1}{6} (x + 4)$

$= \frac{x}{3} - \frac{1}{3} < \frac{x}{4} + \frac{1}{2} < \frac{x}{6} + \frac{2}{3}$

Solution:-

Taking LCM=12:-

$= 4x - 4 < 3x + 6 < 2x + 8$

Solving 1st equation separately:-

= 4x-4<3x+6

=4x-3x<6+4

=x<10

Solving 2nd equation separately:-

= 3x+6<2x+8

= 3x-2x<8-6

= x<2

So,the given solution:-

=x<2<10

• See the attachment for the Number line.The solution is represented by bolded pen.

From number line the possible range of values are from

x={1,0,-1,-2,-3,-4..)