The set A={x:|2x+3|<7} is equal to
D={x:0<x+5<7}
B={x:−3<x<7}
E={x:−7<x<7}
C={x:−13<2x<4}
Given set, A={x:|2x+3|<7}
now,
|2x+3|<7⇒−7<2x+3<7⇒−7−3<2x<7−3⇒−10<2x<4⇒−5<x<2⇒0<(x+5)<7