Question

B and C are sets of real numbers defined as follows.B= {x | x < 3)C= {x | x≤ 7)Write B U C and B ⋂ C using interval notation.If the set is empty, write Ø.

Answer 1

In sets, the symbol ⋃ means to combine.

Set B is the set of all real numbers less than 3. This means from negative infinity to less than 3.

Set C is the set of all real numbers less than or equal to 7. This means from negative infinity to positive 7.

Therefore, the union of Set B and Set C is from negative infinity to positive 7. This can be written as (-∞, 7].

On the other hand, the intersection of Set B and C is from negative infinity to less than 3. This can be written as (-∞, 3)