RATIONAL INEQUALITIES Flashcards

1
Q

IT IS COMPOSED OF RATIONAL EXPRESSIONS COMBINED WITH A ,__

A

RATIONAL INEQUALITIES

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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.

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3
Q

[,]
(,)
(,)

A

> NUMBER IS INCLUDED
NUMBER IS NOT INCLUDED
ALWAYS USED WITH -8, +8

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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
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