Question

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 ]

Answer 1

Answer:

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)