MATH 112 Lecture Notes - Lecture 11: Equals Sign, Solution Set, Negative Number

• School: MNSU
• Department: MATHEMATICS
• Course: MATH 112
• Professor: Oluwafunminiyi Awe

Document Summary

Math 112 lecture 11 2. 3 linear inequalities. Let a, b and c be real numbers: property 1: A + c < b + c are equivalent: e. g. to solve x 2 < 5 x 2 < 5. + 2 + 2 x < 7: property 2: Then a < b and ac < bc are equivalent: e. g. to solve 2x < 6. 2 2 x < 3: property 3: Then a < b and ac < bc are equivalent: e. g. to solve -5x < 10. Note: whenever you multiply or divide an inequality by a negative number, reverse the inequality symbol. Ex: solve each inequality, write the solution set in set builder and interval notation: 3x + 4 > 2x + 5. Interval notation: (1, : 2x 3 . Compound inequalities e. g. x >2 and x < 10 x < 2 and x > 10.