When one side of the inequality is divided or multiplied by a negative number.
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You can add, subtract, multiply, or divide both sides of the equation or inequality by the same number. Don't multiply or divide by zero. In the case of an inequality, if you multiply or divide by a negative number, the sign of the inequality must be reversed. E.g., if you multiply both sides by -2, a "less-than" sign should be replaced by a "greater-than" sign.
when you divide the inequality by a negative number, for example -2x > 50 then x < -25
inequality sign
Yes, when the inequality has a less that or equal to sign, or a greater than sign or equal to sign, then the equal sign can be replaced and get a solution that is common to both the equation and the inequality. There can also be other solutions to the inequality, where as the solution for the equation will be a valid one.
The slope-intercept inequality is an equation of the form y < mx + c. The inequality can be reversed, and in both cases can be strict or not. In all cases the equality divides the Cartesian plane into two and the inequality determines which side of the straight line is the valid region, and whether or not the line itself should be included.