Question

2x-1/12 - x-1/3 < 3x+1/4

Answer 1

Answer:

x=9

Step-by-step explanation:

2x-1/12-x-1/3

2x/6-x-1/3

2x/6-x/3

2x-x=6×3

x-x=6×3/2

x=3×3

x=9

Answer 2

Answer:

x > $-\frac{1}{6}$

Step-by-step explanation:

Given expression is: 2x - $\frac{1}{12}$ - x - $\frac{1}{3}$ < 3x + $\frac{1}{4}$

Simplifying the expression

x - $(\frac{1 + 4}{12})$ < 3x + $\frac{1}{4}$

x - $\frac{5}{12}$ < 3x + $\frac{1}{4}$

Bringing the like terms on the same side

x - 3x <   $\frac{1}{4}$ + $\frac{5}{12}$

Solving for x

- 2x < $\frac{3+1}{12}$

- 2x < $\frac{4}{12}$

-2x < $\frac{1}{3}$

-x < $\frac{1}{6}$

=> x > $-\frac{1}{6}$

Therefore, x > $-\frac{1}{6}$