Question

resolva as equações modulares: a) |x-2| = 6
b) |2x - 1| = 8
c) |x+4| = 10
d) |x + 3| =2
e) |4x - 4| = 8x + 17
f) |3x-4| =5x - 10

Answer 1

a)$x-2=6$→$x=6+2$→$x=8$

b)$2x-1=8$→$2x=8+1$→$2x=9$→$x=9÷2$→$x=4,5$

c)$x+4=10$→$x=10-4$→$x=6$

d)$x+3=2$→$x=2-3$→$x=-1$

e)$4x-4=8x+17$→$4x-8x=17-4$→$-4x=13$→$x=13/4$

f)$3x-4=5x-10$→$3x-5x=-10+4$→$-2x=-6$→$x=-6÷-2$→$x=+3$