Answer:
Explanation:
Applying absolute value rule the solutions are:
x + 1/2 = 3/2/3 or x + 1/2 = -3 2/3
Changing to fractions:
x + 1/2 = 11/3 or x + 1/2 = -11/3
and then changing to a common denominator
x + 3/6 = 22/6 or x + 3/6 = -22/6
Solve left equation first:
x + 3/6 - 3/6 = 22/6 - 3/6
x = 19/6 or 3 1/6
Solve the right equation:
x + 3/6 - 3/6 = -22/6 - 3/6
x = -25/6 or -4 1/6
So the two solutions are:
19/6 and -25/6 as improper fractions
And
as mixed numbers: 3 1/6 and -4 1/6