Math 2 Flashcards
Brackets and parentheses in linear inequalities
brackets: all numbers that are less than or equal to (b) or greater than and equal to (a)
Parenthesis: are all numbers less that (b)
what do you do when dividing or multiplying by a negative inequality?
Flip the inequality
ex: -2x < 3
x> -3/2
How do you solve a linear inequality
Ax+B=0
what are the two types if inequalities
interval notation. compound inequality
Example of interval notation
x+2 <_ 0 when x = -4
-4+2<_ 0
-2<0
what is an example of compound inequality
x+3< 5 and 2x-1>6
x+3< 5 = x<2
2x-1>6 = 7/2
the solution would be (-infinity, 2) U. ( 7/2, infinity)
what do you do when the solutions overlap
Take the beginning points to form the solution.