Linear Inequalities

- Two real numbers or two algebraic expressions related by the symbol ‘<’, ‘>’, ‘≤’ or ‘≥’ form an inequality.

**Note**: Inequalities involving ‘<’ or ‘>’are strict inequalities whereas inequalities involving ‘≤’ or ‘≥’ are slack inequalities.

**Example: **6 < 26, 3 < *z* + 1 ≤ 22, 27 ≥ *s* ≥ 16, *p* + *t* > 100

**Example 1:**

A shopkeeper sells some television sets and A/C sets every day. He wants to earn a profit of at least Rs 10000 each week. For this, he must sell 20 television sets and 30 A/C sets every week or he must sell 50 television sets and 10A/C sets every week. Expr…

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