असमिका `|x+(1)/(4)|gt(7)/(4)` को हल कीजिए ।

Options

A. `(-infty,-2]uu[3/2, oo)`
B. `(-infty,-2)uu(3/2, oo)`
C. `(-infty,-2]uu(3/2, oo)`
D. `(-infty,-2)uu[3/2, oo)`

Answer

B

Explanation

प्रश्नानुसार `|x+(1)/(4)|gt(7)/(4)`
`rArr-(7)/(4)gt(x+(1)/(4))gt(7)/(4)`
इसलिए `xlt-(7)/(4)-(1)/(4)=(-8)/(4)=-2` या `xgt(7)/(4)-(1)/(4)=(6)/(4)=(3)/(2)`
उभयनिष्ठ हल समुच्चय `=]-infty,-2[uu](3)/(2),infty[`