Which notation represents the compound inequality in interval notation?

x >_ - 5 and x < 1

A. x E [ - 5, 1)

B. x E (-5, 1)

C. x E (5, infinity)

D. x E (-infinity, - 5 ]

The notation represents the compound inequality in interval notation is:

Option A. x ∈ [ - 5, 1)

Step-by-step explanation:

x >_ - 5 and x < 1

In interval notation:

x >_ - 5: x ∈ [ - 5, infinity)

x < 1: x ∈ (-infinity, 1)

x >_ - 5 and x < 1

[ - 5, infinity) ∩ (-infinity, 1)

x ∈ [ - 5, 1)