Question

Solve the equation. |k + 7| = 3

A.
{–4, 4}

B.
{–10, –4}

C.
{all real numbers greater than or equal to –10 and less than or equal to – 4}

D.
{–4, 10}

Answer 1

@mikayla16

Answer 2

k+7=3
k=3-7
k=-4

k+7=-3
k=-3-7
k=-10
So B

Answer 3

d

Answer 4

Equation to Solve
|k+7|=3
Solution Steps
1. Remove Absolute Value
Forked Equation 1
k+7=3
Forked Equation 2
−(k+7)=3
Now Solving Equation 1
k+7=3
2. Move Constants to Right
k=3−7
3. Add Constants
k=-4
End of Equation 1
Now Solving Equation 2
−(k+7)=3
4. Negate
-k−7=3
5. Move Constants to Right
-k=3+7
6. Add Constants
-k=10
7. Negate Both Sides
k=−10
End of Equation 2
Plug candidate answers into original equation...
Answer 1:
-4
Answer 2:
-10