Question

Solve |x/6 - 7/12| = 11/6 Determine the values for x by completing the steps
shown.

Answer 1

the answer is number 1

working:
| x/6 - 7/12 | = 11/6 can be solve as
x/6 - 7/12 = 11/6 and x/6 - 7/12 = -11/6

x/6 - 7/12 = 11/6
x/6 = 11/6 + 7/12
x/6 = 29/12
x = 29/2

x/6 - 7/12 = -11/6
x/6 = -5/4
x = -15/2

Answer 2

The values for x by completing the given steps to solve for |x/6 - 7/12| = 11/6 is x=29/2 or x= -15/2. This can be obtained by solving for the value of x similar to solving linear algebraic equation.

Calculate the value of x:

Given that, |x/6 - 7/12| = 11/6

It can be written as

• Negative Direction;

x/6 - 7/12 = -11/6

x/6 = -22/12 + 7/12 = - 15/12

x = (-15/12)6 = -15/2

⇒x = -15/2

• Positive Direction;

x/6 - 7/12 = 11/6

x/6 = 22/12 + 7/12 = 29/12

x = (29/12)6 = 29/2

⇒x = 29/2

Hence the values for x by completing the given steps to solve for |x/6 - 7/12| = 11/6 is x=29/2 or x= -15/2. The correct answer is option 1.

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