Question

How many solutions are there if m < 0 and p > k ? p + m| x + n| = k

Answer 1

9514 1404 393

Answer:

  2

Step-by-step explanation:

The solutions are ...

  p +m|x +n| = k . . . . . given

  m|x +n| = k -p . . . . . . subtract p

  |x +n| = (k -p)/m = (p -k)/-m . . . . . . must have (p-k)/-m ≥ 0

  x = -n ± (p -k)/-m

For the given conditions, m < 0, p > k, we are guaranteed that (p-k)/-m > 0, so there are 2 solutions.