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Solve |d + 4| > 10
a.d<-14
b. d> 6
c. -14 < d<6
d. d<-14 or d > 6


Sagot :

Answer:

b. d > 6

Step-by-step explanation:

Answer:

D. d<-14 or d>6

Step-by-step 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.

[tex]\sf{d+4-4 < -10-4}[/tex]

Solve.

Add or subtract the numbers from left to right.

-10-4=-14

[tex]\Longrightarrow: \boxed{\sf{{d < -14}}}[/tex]

2. d+4>10

Subtract by 4 from both sides.

[tex]\sf{d+4-4 > 10-4}[/tex]

Solve.

Subtract the numbers from left to right.

10-4=6

[tex]\Longrightarrow: \boxed{\sf{d > 6}}[/tex]

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

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