Which statement about BCNF and $3$NF is not true?

Group of answer choices

$3$NF is a relaxed form of BCNF to ensure that a relation is decomposed with both the lossless$-$join and dependency$-$preservation properties.

Both BCNF and $3$NF eliminate possibilities of update anomaly and deletion anomaly.

Both BCNF and $3$NF eliminate redundancy due to multiple valued dependency.

The difference between $3$NF and BCNF is that the right side of each nontrivial FD consists of prime attributes only.

If a relation schema is in BCNF then it is in $3$NF$.$