RATIONAL INEQUALITIES Flashcards
1
Q
IT IS COMPOSED OF RATIONAL EXPRESSIONS COMBINED WITH A ,__
A
RATIONAL INEQUALITIES
2
Q
2x / 5 + 3x - 1 / 2 > 9
2x / 5 + 3x - 1 / 2 > 9 LCD = 10 10[(2x / 5 ) + (3x-1 / 2)] > (9) 10 10/5.2 10/2=5.3x 5.-1 4x + 15x - 5 >90 19x > 90+5 19x / 19 > 95 / 19 x>5 (5,+8)
A
> ELIMINATE THE RATIONAL EXPRESSION BY MULTIPLYING BOTH SIDE BY THE LCD.
> EXPRESS THE ANSWER IN INTERVAL NOTATION.
3
Q
[,]
(,)
(,)
A
> NUMBER IS INCLUDED
NUMBER IS NOT INCLUDED
ALWAYS USED WITH -8, +8
4
Q
x+2 / x-3 _< 0
x+2 = 0 x-3 = 0 x = -2 x=3
A, B ,C
A
>LEFT HAND > RATIONAL >RIGHT HAND > 0 >DETEREMINE THE MEANINGFUL NUMBERS BY SETTING THE NUMERATOR = 0; DENOMINATOR = 0 >USE THE MEANING NUMBER TO SPARATE THE NUMBER LINE INTO INTERVALS. >TEST FOR THE MEANINGFUL NUMBERS IF "TRUE" ->"[,]" IF "FALSE" ->"(,)" "(,)" 8