calculators.algebra.inequality.common.examples.exampleNumber
\(2x + 3 > 7 \rightarrow x > 2\)
不等式計算機
線形および二次不等式を段階的な解法で解く
結果
値を入力して、計算をクリックすると結果が表示されます。
理論と公式
A linear inequality is similar to a linear equation, but instead of equality, it uses inequality symbols (<, >, ≤, ≥).
Key rules for solving inequalities:
- Addition/Subtraction: Adding or subtracting the same value on both sides preserves the inequality
- Multiplication/Division (positive): Multiplying or dividing by a positive number preserves the inequality
- Multiplication/Division (negative): Multiplying or dividing by a negative number reverses the inequality
- Solution set: An inequality typically has infinitely many solutions, represented on a number line or in interval notation
\(ax + b < c \rightarrow x < \frac{c - b}{a}\) (if \(a > 0\))
解説付き例題
calculators.algebra.inequality.common.examples.exampleNumber
\(-3x + 5 \leq 14 \rightarrow x \geq -3\)
calculators.algebra.inequality.common.examples.exampleNumber
\(5x - 2 < 13 \rightarrow x < 3\)
Interval Notation
\(x \geq 2\) is written as \([2, \infty)\)