menu
Vypočítej to

Lineární nerovnice

Kalkulačka

Zvolte typ nerovnice

ax + b > 0
ax + b ≥ 0
ax + b < 0
ax + b ≤ 0

Zadejte nerovnici

 x +   >   x + 
+

Příklad:

 x +   =   x + 
$$ x - 5,3 = \frac{3}{7} $$
Zaokrouhlit na desetinné místo

Vzorce

$$ \boxed{ax + b \gt 0} $$
$$ \underline{\underline{\bullet \ a \gt 0}} $$
$$ \begin{aligned} x &\gt -\frac{b}{a} \\ \\ x &\in \left(-\frac{b}{a},\ +\infty \right) \end{aligned} $$
$$ \underline{\underline{\bullet \ a \lt 0}} $$
$$ \begin{aligned} x &\lt -\frac{b}{a} \\ \\ x &\in \left(-\infty,\ -\frac{b}{a} \right) \end{aligned} $$
$$ \underline{\underline{\bullet \ a = 0}} $$
$$ \underline{\circ \ b \gt 0} $$
$$ x \in \left(-\infty,\ +\infty \right);\ x \in \mathbb{R} $$
$$ \underline{\circ \ b \le 0} $$
$$ x = \left\{\right\} $$
$$ \boxed{ax + b \ge 0} $$
$$ \underline{\underline{\bullet \ a \gt 0}} $$
$$ \begin{aligned} x &\ge -\frac{b}{a} \\ \\ x &\in \left\langle-\frac{b}{a},\ +\infty \right) \end{aligned} $$
$$ \underline{\underline{\bullet \ a \lt 0}} $$
$$ \begin{aligned} x &\le -\frac{b}{a} \\ \\ x &\in \left(-\infty,\ -\frac{b}{a} \right\rangle \end{aligned} $$
$$ \underline{\underline{\bullet \ a = 0}} $$
$$ \underline{\circ \ b \ge 0} $$
$$ x \in \left(-\infty,\ +\infty \right);\ x \in \mathbb{R} $$
$$ \underline{\circ \ b \lt 0} $$
$$ x = \left\{\right\} $$
$$ \boxed{ax + b \lt 0} $$
$$ \underline{\underline{\bullet \ a \gt 0}} $$
$$ \begin{aligned} x &\lt -\frac{b}{a} \\ \\ x &\in \left(-\infty,\ -\frac{b}{a} \right) \end{aligned} $$
$$ \underline{\underline{\bullet \ a \lt 0}} $$
$$ \begin{aligned} x &\gt -\frac{b}{a} \\ \\ x &\in \left(-\frac{b}{a},\ +\infty \right) \end{aligned} $$
$$ \underline{\underline{\bullet \ a = 0}} $$
$$ \underline{\circ \ b \lt 0} $$
$$ x \in \left(-\infty,\ +\infty \right);\ x \in \mathbb{R} $$
$$ \underline{\circ \ b \ge 0} $$
$$ x = \left\{\right\} $$
$$ \boxed{ax + b \le 0} $$
$$ \underline{\underline{\bullet \ a \gt 0}} $$
$$ \begin{aligned} x &\le -\frac{b}{a} \\ \\ x &\in \left(-\infty,\ -\frac{b}{a} \right\rangle \end{aligned} $$
$$ \underline{\underline{\bullet \ a \lt 0}} $$
$$ \begin{aligned} x &\ge -\frac{b}{a} \\ \\ x &\in \left\langle -\frac{b}{a},\ +\infty \right) \end{aligned} $$
$$ \underline{\underline{\bullet \ a = 0}} $$
$$ \underline{\circ \ b \le 0} $$
$$ x \in \left(-\infty,\ +\infty \right);\ x \in \mathbb{R} $$
$$ \underline{\circ \ b \gt 0} $$
$$ x = \left\{\right\} $$

Uživatelské hodnocení

4,3/5 (13×)