Question

Solve |d + 4| > 10

a.d<-14
b. d> 6
c. -14 < d<6
d. d<-14 or d > 6

Answer 1

b. d > 6

Explanation:

Answer 2

D. d<-14 or d>6

Explanation:

To solve for d, isolate it on one side of the equation.

|d+4|>10

d+4<-10 or d+4>10

1. d+4<-10

First, you have to subtract by 4 from both sides.

`\sf{d+4-4 < -10-4}`

Solve.

Add or subtract the numbers from left to right.

-10-4=-14

`\Longrightarrow: \boxed{\sf{{d < -14}}}`

2. d+4>10

Subtract by 4 from both sides.

`\sf{d+4-4 > 10-4}`

Solve.

Subtract the numbers from left to right.

10-4=6

`\Longrightarrow: \boxed{\sf{d > 6}}`

• Therefore, the correct answer is "D. d<-14 or d>6".

I hope this helps. Let me know if you have any questions.