Answer:
The inequality -5 - 4w > 10 is the TRUE option.
Step-by-step explanation:
Given
w = -4
To determine
We have to determine which inequality is true
Let us substitute w = -4 one by one in all the inequalities
2 - w < -3
substitute w = -4
2 - (-4) < -3
2+4 < -3
6 < -3
FALSE!
Reason: 6 can not be less than -3
-3 - 5w < -14
substitute w = -4
-3 - 5(-4) < -14
-3 + 20 < -14
17 < -14
FALSE!
Reason: 17 can not be less than -14
1- 2w > 13
substitute w = -4
1 - 2(-4) > 13
1+8 > 13
9 > 13
FALSE!
Reason: 9 can not be greater than 13
-5 - 4w > 10
substitute w = -4
-5 - 4(-4) > 10
-5 + 16 > 10
11 > 10
TRUE!
Reason: 11 is indeed greater than 10.
Thus, the inequality -5 - 4w > 10 is the TRUE option.
