Question

Which interval notation represents the inequality x > -3.5?

a) (-3.5, [infinity])
b) (-[infinity], -3.5)
c) (-[infinity], -3.5)
d) (-3.5, [infinity])

Answer 1

The correct interval notation that represents the inequality x > -3.5 is (-3.5, [infinity]).

Step-by-step explanation:

The correct interval notation that represents the inequality x > -3.5 is ({{-3.5}}, [infinity]).

In interval notation, parentheses () indicate that the endpoint is not included, while square brackets [] indicate that the endpoint is included. Since the inequality is strictly greater than, -3.5 should be excluded and infinity, which represents all values greater than any given number, should be included. Therefore, the correct interval notation is (-3.5, [infinity]).