|x+1| + |x-1| = 2x, when x > 1 and -2x when x < -1, but between these two values, the value of the function is 2.
Here's how that works. If a function f(x) evaluates positive, then |f(x)| = f(x), but if f(x) evaluates negative then |f(x)| = -f(x).
So for x > 1, both functions are positive, so it's just x + 1 + x - 1 = 2x.
For x < -1, both functions are negative: -(x+1) -(x-1) = -x -1 -x + 1 = -2x
Between -1 x+1 - (x-1) = x + 1 - x + 1 = 2.
Absolute value of -6+5 is 1.
First, simplify the equation: absolute (3x-1) = absolute (x+5) absolute (2x) = absolute (6) absolute (x) = absolute (3) which really means plus or minus 3, or, (+/-3) Now you have x = +/- 3, so test out x = 3 and x = -3. Test out x = 3: absolute (3*3-1) = absolute (3+5) absolute (9-1) = absolute (8) ---> absolute 8 = absolute 8 --> 8=8 which is correct! Now test x = -3 absolute (3*(-3)-1) = absolute (-3+5) ---> absolute (-9-1) = absolute (2) absolute (-10) = absolute 2 ---> 10 = 2 Since 10 does not equal 2, this is not a correct answer. Therefore x = 3.
x= -1
If: 5-3x = x+1 then the value of x = 1
|x + 1| - |x + 4| = 0 ∴ |x + 1| = |x + 4| ∴ x + 1 = -x - 4 ∴ 2x = -5 ∴ x = -5/2
Absolute value of -6+5 is 1.
4
First, simplify the equation: absolute (3x-1) = absolute (x+5) absolute (2x) = absolute (6) absolute (x) = absolute (3) which really means plus or minus 3, or, (+/-3) Now you have x = +/- 3, so test out x = 3 and x = -3. Test out x = 3: absolute (3*3-1) = absolute (3+5) absolute (9-1) = absolute (8) ---> absolute 8 = absolute 8 --> 8=8 which is correct! Now test x = -3 absolute (3*(-3)-1) = absolute (-3+5) ---> absolute (-9-1) = absolute (2) absolute (-10) = absolute 2 ---> 10 = 2 Since 10 does not equal 2, this is not a correct answer. Therefore x = 3.
x-1
x= -1
If: 5-3x = x+1 then the value of x = 1
4567
|x + 1| - |x + 4| = 0 ∴ |x + 1| = |x + 4| ∴ x + 1 = -x - 4 ∴ 2x = -5 ∴ x = -5/2
Absolute value of 1 is 1.
The answer is 0.
3
9A:2 - 1 - 1 + 1 - 1 + 3 - 2 + 6 = 7The answer is seven.