Answer Expert Verified Therefore the answer is the third choice y < 3.

1. If m < n then m + k < n + k, m – k < n – k, where k is any number positive or negative. 2. If m < n then (i) km < kn, where k is a positive number.

These inequality symbols are: less than (<), greater than (>), less than or equal (≤), greater than or equal (≥) and the not equal symbol (≠).

(Figure 1) Hence squaring both sides of an inequality will be valid as long as both sides are non-negative. Since square roots are non-negative, inequality (2) is only meaningful if both sides are non-negative. Hence, squaring inequalities involving negative numbers will reverse the inequality.

Flip the inequality sign when you multiply or divide both sides of an inequality by a negative number. You also often need to flip the inequality sign when solving inequalities with absolute values.

Dividing each side of an inequality by a positive number does not change the direction of the inequality symbol. If a < b and if c is a negative number, then a · c > b · c. Multiplying each side of an inequality by a negative number reverses the direction of the inequality symbol.

A system of linear inequalities is often used to determine the best solution to a problem. This solution could be as simple as determining how many of a product should be produced to maximize a profit or as complicated as determining the correct combination of drugs to give a patient.

Reduce inequality within and among countries

1. Target 10.1: Reduce income inequalities.
2. Target 10.2: Promote universal social, economic and political inclusion.
3. Target 10.3: Ensure equal opportunities and end discrimination.
4. Target 10.4: Adopt fiscal and social policies that promotes equality.