Q:

Answer:1. 13 or -132. -5 < y < -33. 6 or -64. 1/8 or -1/8Step-by-step explanation:Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.The Absolute Value term is |x| For the Negative case we'll use -(x) For the Positive case we'll use (x) Step  3  :Solve the Negative Case      -(x) = 13      Multiply      -x = 13      Multiply both sides by (-1)      x = -13      Which is the solution for the Negative CaseStep  4  :Solve the Positive Case      (x) = 13      Which is the solution for the Positive CaseStep  5  :Wrap up the solution x=-13 x=13 But for the case of question (2) its a different pattern..Since this is a "less than" absolute-value inequality, my first step is to clear the absolute value according to the "less than" pattern. Then I'll solve the linear inequality.| y + 4 | < 1–1 < y + 4 < 1This is the pattern for "less than". Continuing, I'll subtract 3 from all three "sides" of the inequality:–1 – 4 < y + 4 - 4 < 1 – 4–5 < y < -3$$- 5 < y < - 3$$The solution to the original absolute-value inequality, | y + 4 | <  1 , is the interval:$$- 5 < y < - 3$$