Question

The solution set of the in equations
4x - 1 <0,3 – 4x < 0​

Answer 1

Answer:

x € (-∞,¼)U(¾,+∞)

Step-by-step explanation:

Given a pair of linear inequations.

4x-1 < 0 ......(1)

3-4x < 0 ......(2)

Solving for the solution set.

From eqn (1), we get,

=> 4x < 1

=> 4x/4 < 1/4

=> x < 1/4 ......(3)

From eqn (2), we get,

=> 3-4x < 0

=> -4x < -3

=> 4x > 3

=> 4x/4> 3/4

=> x > 3/4 .......(4)

From eqn (3) and (4), we get,

=> x € (-∞, 1/4)

And,

=> x € (3/4,+∞)

Hence, the Solution is x € (-∞,¼)U(¾,+∞)