7|1/2x + 3 1/2| - 2 = 5

x = -1/5 and -1/9

Step-by-step 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

2

step-by-step explanation:

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