Question

Solve the equation. |k 9| = 4 :

a. {–13, –5}
b. {–5, 5}
c.{–5, 13}
d. {all real numbers greater than or equal to –13 and less than or equal to –5}

Answer 1

To solve the equation |k - 9| = 4, we need to consider two cases: k - 9 = 4 and -(k - 9) = 4. The solutions to the equation are k = 13 and k = 5.

Step-by-step explanation:

The equation |k - 9| = 4 is asking for the values of k that satisfy the equation. To solve this equation, we need to consider two cases: k - 9 = 4 and -(k - 9) = 4.

In the first case, we have k - 9 = 4. Adding 9 to both sides gives us k = 13.

In the second case, we have -(k - 9) = 4. Distributing the negative gives us -k + 9 = 4. Subtracting 9 from both sides gives us -k = -5. Multiplying both sides by -1 gives us k = 5.

Therefore, the solutions to the equation are k = 13 and k = 5. So the answer is b. {-5, 5}.