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{{ printedBook.courseTrack.name }} {{ printedBook.name }} When multiplying one side of an inequality with a positive number it's important to **multiply the other side by the same number** to ensure that the inequality still holds. For example, the inequality $0.2x≤2$ can be multiplied by $5$ on both sides.
$5⋅0.2x≤5⋅2⇔x≤10$
However, this only yields when **multiplying by positive numbers**. When multiplying both sides by a negative number the inequality sign must be flipped.