Question

Solve the following inequation and represent your solution on
the real number line:
-1/3<_x/2-4/3<1/6

​

Answer 1

Answer:

{ x: 2 $\leq$ x < 3: x∈R}

Step-by-step explanation:

-1/3 $\leq$ x/2-4/3<1/6

-1/3 $\leq$ x/2-4/3  take LCM

-2/6 $\leq$ (3x -8)/6

-2 $\leq$ 3x-8

6 $\leq$3x

2 $\leq$ x

x/2-4/3 < 1/6  take LCM

(3x - 8)/6 < 1/6

3x - 8 < 1

3x < 9

x< 3

{ x: 2 $\leq$ x < 3: x∈R}