Formula: ax > b, a ≠ 0
Meaning: This inequality shows that the product of a variable x and a coefficient a is greater than a constant b. The coefficient a cannot be zero.
a > 0Dividing both sides by a (positive), the inequality remains:
x > b / a
Interpretation: x must be greater than b / a.
a < 0Dividing both sides by a (negative) reverses the inequality sign:
x < b / a
Interpretation: x must be less than b / a.
Dividing or multiplying an inequality by a negative number reverses the inequality sign.