Question

X-5 > -2. Choose the solution set.

a. (X | X ∈ ℝ, X > 3)
b. (X | X ∈ ℝ, X > -7)
c. (X | X ∈ ℝ, X > 7)
d. (X | X ∈ ℝ, X > -3)

Answer 1

The solution to the inequality X-5 > -2 is option a, which represents all real numbers greater than 3.

Step-by-step explanation:

The student's question pertains to solving the inequality X-5 > -2. To solve this, we need to isolate X by performing the same operation on both sides of the inequality. We add 5 to both sides, resulting in X > 3. Therefore, the solution to the inequality is X > 3, which corresponds to every real number greater than 3. When we analyze the provided solution sets, the one that matches our solution is option a, which is written as (X | X ∈ ℝ, X > 3). This means we're considering all real numbers X that are greater than 3.