Question

Sa se rezolve inecuatiile:
a) ax+b>3-2x
b)x+(x-1)/(a+1)>(x+1)/(a+1)​

Answer 1

Explicație pas cu pas:

a) a ≠ -2

$ax+b>3-2x \\ ax + 2x > 3 - b \\ x(a + 2) > 3 - b \\ \implies x > \frac{3 - b}{a + 2}$

b) a ≠ -1

$x + \frac{x - 1}{a + 1} > \frac{x + 1}{a + 1} \\ x(a+1) + x - 1 > x + 1 \\ x(a + 1) + x - x > 1 + 1 \\ x(a + 1) > 2 \\ \implies x > \frac{2}{a + 1}$