Question

Solve the inequality and write the solution in interval notation.

A) (-11) U (2, [infinity])

B) (-[infinity], -1) U (0, 1.0)

C) (-[infinity], -1) U (1.0, [infinity])

D) (-1, [infinity])

Answer 1

The solution to the given inequality is (-1, ∞). Thus the correct option is option (D).

Step-by-step explanation:

Let's analyze each option using mathematical calculations to identify the correct solution:

Option A: (-11) U (2, ∞)

This option combines a single point, -11, and an interval starting from 2 to positive infinity. However, the union of these sets does not create a continuous range.

Option B: (- ∞, -1) U (0, 1.0)

This option comprises two disjoint intervals. The first interval spans from negative infinity to -1, and the second interval ranges from 0 to 1.0. The union of these intervals does not provide a continuous solution.

Option C: (- ∞, -1) U (1.0, ∞)

Similar to option B, this choice involves two disjoint intervals. The first interval extends from negative infinity to -1, and the second interval ranges from 1.0 to positive infinity. The union of these intervals does not form a continuous range.

Option D: (-1, ∞)

This option represents a single, continuous interval starting from -1 and extending to positive infinity. It satisfies the given inequality and is the correct solution.

In conclusion, the correct solution is option D, (-1, ∞), as it forms a continuous interval that satisfies the given inequality. Thus the correct option is option (D).

Question: Find the solution to the inequality and represent it using interval notation. Choose the correct option from the given alternatives, each presenting a distinct set of intervals. Determine the option that accurately reflects the solution to the inequality.

A) (-11) U (2, ∞)

B) (- ∞, -1) U (0, 1.0)

C) (- ∞, -1) U (1.0, ∞)

D) (-1, ∞)