Answer:
x = -1/5 and -1/9
Explanation:
Given the expression
7|1/2x + 3 1/2| - 2 = 5
Removing the modulus sign
7(1/2x+7/2) -2 = 5
Add 2 from both sides
7(1/2x+7/2) -2 + 2= 5 + 2
7(1/2x+7/2) = 7
Divide through by 7
(1/2x+7/2) = 1
1/2 x = 1 - 7/2
1/2 x = -5/2
-10x = 2
x = -2/10
x = -1/5
For the negative function:
7|1/2x + 3 1/2| - 2 = 5
Removing the modulus sign
7(-(1/2x+7/2)) -2 = 5
Add 2 from both sides
7(-(1/2x+7/2)) -2 + 2= 5 + 2
7(-1/2x-7/2) = 7
Divide through by 7
(-1/2x-7/2) = 1
-1/2 x = 1 + 7/2
-1/2 x = 9/2
18x = -2
x = -2/18
x = -1/9
Hence the values of x are -1/5 and -1/9