alleryStart learning →What happens to an inequality sign when the same number is added to both sides?
AIt reverses direction
BIt becomes an equals sign
CIt becomes undefined
DIt keeps its direction
Answer & Solution
Correct answer: D. It keeps its direction
1. Adding the same amount shifts both sides by the same distance.
2. Their order on the number line is untouched, so the sign keeps its direction.
3. Subtracting the same amount from both sides behaves the same way.
4. Only multiplying or dividing by a negative number reverses the sign, so no flip happens here.
_Source: OpenStax Intermediate Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations", section 2.5 Solve Linear Inequalities_
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