Final answer:
The value of X that satisfy the inequality X + 2 > -4 are found by subtracting 2 from both sides, giving X > -6. Thus, the correct answers are (B) X ≥ -6 and (D) X > -6.
Step-by-step explanation:
The student's question is about solving an inequality. We want to find the values of X that satisfy the inequality X + 2 > -4. To do this, subtract 2 from both sides of the inequality to isolate X, which gives us X > -6. This tells us that any number greater than -6 will satisfy the inequality.
Now we compare the possible answers. Answer (A) X ≤ -2 does not satisfy the inequality, as it does not include numbers greater than -6. Answer (B) X ≥ -6 is correct, as it includes numbers that are -6 and greater. Answer (C) X < -2 does not satisfy the inequality, since -2 is higher than -6 and we need all values above -6. Answer (D) X > -6 does satisfy the inequality, as this represents all numbers greater than -6.
Therefore, the correct answers are (B) X ≥ -6 and (D) X > -6.