How do you solve $∣ ∣ ∣ \frac{1}{2} x - 3 ∣ ∣ ∣ = 4$ $abs(1/2x - 3) = 4$ ?

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Answer 1 · 2018-03-22T14:26:37

X= 14 and -2

Writing the Equation:

$∣ ∣ \frac{x}{2} - 3 ∣ ∣ = 4$ $|x/2 - 3| =4$

Since it's absolute value, It has two solutions:

1/

$\frac{x}{2} - 3 = 4$ $x/2 - 3 = 4$

$\frac{x}{2} = 7$ $x/2=7$

$x = 14$ $x=14$

2/

$\frac{x}{2} - 3 = - 4$ $x/2 - 3 = -4$

$\frac{x}{2} = - 1$ $x/2=-1$

$x = - 2$ $x=-2$

How do you solve abs(1/2x - 3) = 4∣∣∣12x−3∣∣∣=4 abs(1/2x - 3) = 4?