If w=-4, which inequality is true Option Answers:
2-w<-3
-3- 5w < -14
1- 2w > 13
-5 - 4w >10

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.