Question

|0.5-2x|=2.5 0.5-2x=2.5

Answer 1

Ответ:

$|0.5 - 2x| = 2.5 \\ 1.0.5 - 2x = 2.5 \\ 2.0.5 - 2x = - 2.5 \\ 1. \: - 2x = 2 \\ x = - 1 \\ 2. - 2x = - 3 \\ x = 1.5$

Answer 2

To solve the equation |0.5 - 2x| = 2.5, you'll need to consider both cases when the expression inside the absolute value bars is either positive or negative.

Case 1: 0.5 - 2x is positive 0.5 - 2x = 2.5

Now, isolate x: -2x = 2.5 - 0.5 -2x = 2 x = 2 / (-2) x = -1

Case 2: 0.5 - 2x is negative -(0.5 - 2x) = 2.5

First, distribute the negative sign inside the absolute value bars: -0.5 + 2x = 2.5

Now, isolate x: 2x = 2.5 + 0.5 2x = 3 x = 3 / 2 x = 1.5

So, the solution to the equation |0.5 - 2x| = 2.5 is x = -1 or x = 1.5.