Inequality

Inequality is a comparison topic where you determine the relationship between variables using greater than, less than, equal to, or not equal to signs across direct or coded statements.

It is considered scoring because the rules are stable, questions are usually short, and accuracy rises quickly once chain logic, same-direction rules, and conclusion testing become familiar.

Coded inequality replaces mathematical signs with symbols or letters. You first decode each symbol and then apply normal inequality logic to check whether the conclusion follows.

Start with direct inequality chains, then coded inequality, and finally either-or style conclusions. Regular short drills work best because pattern recognition matters more than lengthy theory.

Either-or is important because it tests whether two opposite or complementary conclusions cannot both be wrong at the same time. Many students understand chain logic but still lose marks by misjudging either-or cases.

Decode the symbols first and turn the question into a normal inequality chain. Students usually make fewer mistakes when they separate decoding from conclusion checking instead of trying to do both at once.

Basic direct inequality and either-or are common in prelims, while coded inequality, reverse inequality, and slightly more layered conclusion formats appear more often at mains level.

Speed improves when sign meanings are automatic, chain formation becomes clean, and you stop re-reading the same line multiple times. Short repeated practice usually works better than long irregular sessions.

A common mistake is checking conclusions before building the full chain properly. Another is forgetting that one weak sign in the middle can change whether a conclusion is definite, possible, or not valid.

Revise sign meanings, same-direction logic, complementary pairs, coded sign conversions, and a few either-or examples. Inequality is a high-retention topic when revision stays short and frequent.