Please explain each step to solve for the solutions in part 2. Please show how to solve for corner points when given a set of linear inequalities Part 1 Consider the following system of inequalities:...

Please explain each step to solve for the solutions in part 2. Please show how to solve for corner points when given a set of linear inequalities

Extracted text: Part 1 Consider the following system of inequalities: 10x + 11y > -7 -4x + 7y < 37="" 28х="" +="" 8y="">< 140="" how="" many="" corner="" points="" does="" the="" system="" have?="" 3="" part="" 2="" write="" all="" corner="" points="" in="" the="" space="" provided="" below.="" if="" there="" are="" multiple="" corner="" points,="" write="" each="" ordered="" pair="" seperated="" by="" a="">