Solve absolute value equation :

The correct answer is: Here, we get that |x+3| is negative, which is not possible. Thus, no value of x will satisfy the given equation.

Step by step solution:
The given equation is

5 |x + 3| + 8 = 6
Subtracting 8 from both sides, we get

5 |x+3| = 6 - 8 = - 2
Dividing by 5 throughout, we get

x+3|= - 2/5
But modulus is always non-negative.
Here, we get that |x+3| is negative, which is not possible.
Thus, no value of x will satisfy the given equation.

Absolute value of a variable has many uses in mathematics. Geometrically, the absolute value of a number may be considered as its distance from zero regardless of its direction. The symbol |.| is pronounced as ‘modulus’. We read |x| as ‘modulus of x’ or ‘mod x’.