Question

The set {X:XER, -2 < X < 7 } can be written as​

Answer 1

Answer:

x ∈ (-2, 7)

Step-by-step explanation:

★ x ∈ (-2, 7) means that the value of x lies between -2 to 7 excluding -2 and 7.

★ So, we represent them in the form of open interval by using Normal brackets.

★ The possible values of x can be any of these numbers:

→ {-1, 0, 1, 2, 3, 4, 5, 6}

x ∈ (-2, 7] means that the value of x lies between -2 to 7 including 7 but excluding -2.

The set is defined as: {x : x ∈ R, -2 < x ≤ 7}

Similarly,

• x ∈ [-2, 7] means that x lies between -2 to 7 including both -2 and 7

The set is defined as: {x : x ∈ R, -2 ≤ x ≤ 7}