Answer:
Step-by-step explanation:
1). 3 - | x + 4 | = 10 No solutions
2). 1/2 | x | + 3 = 3 One solution x = 0
3). | x - 8 | - 4 = - 1 Two solutions x = 5 and x = 11
Step-by-step explanation:
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The equation 3 - | x + 4 | = 10 doesn't have any solution and 1/2 | x | + 3 = 3 has one solution while | x - 8 | - 4 = - 1 has two solution.
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
A formula known as an equation uses the same sign to denote the equality of two expressions.
In another word, the equation must be constrained with some constraints.
01) First equation
1/2 | x | + 3 = 3
1/2 | x | = 0
| x | = 0
x = 0 and -x = 0 ⇒ x = 0
So it has only one solution at x = 0.
02) Second equation
| x - 8 | - 4 = - 1
| x - 8 | = 3
-(x - 8) = 3 ⇒ x = 5 and (x - 8) = 3 ⇒ x = 11
So it has two answers at 5 and 11.
03) Third equation
3 - | x + 4 | = 10
In this no one solution is possible.
For more about the equation,
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