Răspuns:
Explicație pas cu pas:
a) |x-2| - 11=-2|x-2|+4
|x-2| + 2 |x-2| = 11 + 4
3 |x-2| = 15
|x-2| = 15 : 3 = 5
x - 2 = 5
x1 = 5 + 2 = 7
x - 2 = -5
x2 = -5 + 2 = -3
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b) -2|x+3|+4|x+3|=15-5|x+3|-1
-2|x+3| + 4|x+3| + 5|x+3| = 15 - 1
7|x+3| = 14
|x+3| = 14 : 7 = 2
x + 3 = 2
x1 = 2 - 3 = -1
x + 3 = -2
x2 = -2 - 3 = -5
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c) 3|x+1|+5=|x+1|+11
3|x+1| - |x+1| = 11 - 5
2|x+1| = 6
|x+1| = 6 : 2 = 3
x + 1 = 3
x1 = 3 - 1 = 2
x + 1 = -3
x2 = -3 - 1 = -4
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d) -4|2x - 1| + 2 = - |2x - 1|-7
-4|2x - 1| + |2x - 1| = -7 - 2
-3|2x - 1| = -9
|2x - 1| = -9 : (-3) = 3
2x - 1 = 3
2x = 3 + 1 = 4
x1 = 4 : 2 = 2
2x - 1 = -3
2x = -3 + 1 = -2
x = -2 :2 = -1
