Solve the equation. |k + 7| = 3 A. {-4, 10} B. {-10, - 4} C. {-4, 4} D. {all real numbers greater than or equal to - 10 and less than or equal to - 4}

Question

Mathematics

Alejandra Noble

19 July, 18:50

Solve the equation. |k + 7| = 3 A. {-4, 10} B. {-10, - 4} C. {-4, 4} D. {all real numbers greater than or equal to - 10 and less than or equal to - 4}

+1

Answers (1)

Know the Answer?

Selina Cameron · Answer 1

The absolute value sign makes it so that k+7 could be either - 3 or + 3 and the result would still be 3. This means there are two possible answers for k. The one that makes k+7=-3 and the one that makes k+7=+3. Just solve these two equations:

k+7=-3

k=-3-7

k=-10

k+7=3

k=3-7

k=-4

So the possible answers are - 4 and - 10. B is the correct choice.