The set S = 1 < x < 4 is described by which interval notation?[1,4][1,4)(1,4](1,4)

Question

The set S = x is described by which interval notation?[1,4][1,4)(1,4](1,4)

Answer 1

The set is defined as,

[tex]S=\lbrack\lvert x\rvert1As the there is no equality included with the inequality on the either side, the interval will be an open interval on either side.

Thus, the solution is (1,4).