Which numbers are included in the set of integers that when added to − 4 -4 give a sum of less than zero? Select two answers.
A.3
B.7
C.9
D.-2
E.4
I think the answer is -2 and 3
correct.
To find the numbers that when added to -4 give a sum less than zero, we need to solve the inequality -4 + x < 0, where x represents the unknown number.
-4 + x < 0
To solve this inequality, we can add 4 to both sides of the inequality.
-4 + 4 + x < 0 + 4
0 + x < 4
Simplifying further, we get:
x < 4
Now, we need to determine which given numbers are less than 4. Let's check each option:
A. 3 - Yes, 3 is less than 4.
B. 7 - No, 7 is not less than 4.
C. 9 - No, 9 is not less than 4.
D. -2 - Yes, -2 is less than 4.
E. 4 - No, 4 is not less than 4.
So, the numbers included in the set of integers that when added to -4 give a sum of less than zero are -2 and 3. Hence, the correct answer is D. -2 and A. 3.