2. is an inequality that can be written in one of the following forms:  Ax + By < C  Ax + By > C  Ax + By ≤ C  Ax + By ≥ C where A, B, C are real numbers and A and B are both not equal to zero.

3. 1. 4x – y > 1 2. x + 5y ≤ 9 3. 3x + 7y < 2 4. 8x -3y ≥ 14 5. 2y > x – 5 6. y ≤ 6x + 11

4. Certain situations in real life can be modeled by linear inequalities.

5. 1.The total amount of 1-peso coins and 5-peso coins in the bag is more than Php. 150. The situation can be modeled by the linear inequality: x + 5y > 150, where “x” is the number of 1-peso coins and “y” is the number of 5-peso coins.

6. 2. Emily bought 2 blouses and a pair of pants. The total amount she paid for the items is not more than Php. 980. The situation can be modeled y the linear inequality: 2x + y ≤ 980, where “x” is the cost of each blouse and “y” is the cost of a pair of pants.