INEQUALITIES

Question 1

for any a, b, c, element of a real number

1. trichotomy

Answer 1

if a is not equal b, then a>b or a<b></b>

Question 2

2. transitivity property

Answer 2

if a>b and b>c, then a>c

also, if a<b></b>

Question 3

multiplication property of inequality

Answer 3

if a>b, and c>0, then ac>bc

if a>b and c<0, then ac

Question 4

critical number is the

Answer 4

variable in a factor that would make the factor 0

Question 5

shortcuts to the solution of the equations of quadratic inequalities

the solution to ax² + bx + c >0 where A>0 depends on the discriminant D= Β²-4ac

Answer 5

1. if D>0, then the solution is x>big CN
   OR
   x<small></small>

Question 6

the solution to ax² + bx + c <0 where A>0 depends on the discriminant D= Β²-4ac

Answer 6

1. if D>0 then the solution is small CN