Question

solve the rational inequality

Answer 1

Step-by-step explanation:

i will solve it and give you ur answer on 29th February

but through oral calculations the answer should be 3

Answer 2

Answer:

x € ( [ 1 - √2] / 2√2 , ∞ )

Step-by-step explanation:

3 / ( 4x^2 + 4x + 1 ) - 6 < 0

3 / ( 4x^2 + 4x + 1 ) < 6

( 4x^2 + 4x + 1 ) > 1/2

( 2x + 1 ) ^2 > 1/2

( 2x + 1 ) > ± √(1/2)

( 2x + 1 ) > + √1/2 or ( 2x + 1 ) > - 1/√2

x > ( 1 - √2 ) 2√2 or x > - ( 1 + √2 ) / 2√2

hence....x € ( [ 1 - √2] / 2√2 , ∞ )