Question

Write the following sets in set builder (Rule Method) form:
$B_5=\text{{-5, -4, -3, -2, -1}}$

Answer 1

Step: Express the given set in set builder (Rule Method) form:

In set builder form, the actual elements of the set are not written, but a statement or a formula or a rule is written in briefest possible way to represent the elements of the set.

Given:
$B_5=\text{{-5, -4, -3, -2, -1}}$

As, -5, -4, -3, -2, -1 are the negative integers from -5 to -1.

So, elements, of $B_5$ are the negative integers greater than and equals to -5 but less than and equals to -1.

Hence, set builder form of $B_5$ is
$B_5=\{x:x\in Z\text{and}-5\le x\le -1\}.$