Question

Resolva, em R, as equações:

a)|-2x+3|=1
b)|x-3|=2


me ajudem por favor​

Answer 1

Definição de módulo:

$\left \{{{|x|=x,\:se\:x\:\geq\:0 } \atop {|x|=-x,\:se\:x<0}} \right.$

$|-2x+3|=1\\\\-2x+3=1\:se\:x\geq \frac{3}{2}\\\\2x=3-1\\\\x=1\\\\\\-(-2x+3)=1\:se\:x< \frac{3}{2}\\\\2x-3=1\\\\2x=4\\\\x=2$

Letra b:

$|x-3|=2\\\\x-3=2\:se\:x\geq 3\\\\x=5\\\\\\-(x-3)=2\:se\:x< 3\\\\-x+3=2\\\\x=1$