Question

rezolva in Z* inecuatia x-3/4 < 1 3/8, are solutie multimea:
a) {0 1 2}
b) {1 2 3}
c) {1 2}
d) multimea vida

Am mare nevoie de ajutor la acest exercitiu, va rog ajutati-ma!!!​

Answer 1

Răspuns:

$x - \frac{3}{4} < 1 \frac{3}{8} \\x - \frac{3}{4} < \frac{11}{8} \\ x < \frac{11}{8} + \frac{3}{4} \\ x < \frac{11}{8} + \frac{6}{8} \\ x < \frac{17}{8} = 2.12$

x < 2,12 ; x E Z* ==> S = {1,2} (din variante)