1 region of inequalities

8/13/2019 1 Region of Inequalities

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REGION REPRESENTING INEQUALITIES IN TWO VARIABLES

Define The Inequalities Area

The regions representing inequalities in two variables:

Skills I!"rtant N"tes

To shade the region which satisfies the

inequalities of the form:

x > h, x < h,

x h and x h

x h is equivalent to

x > h and x = h

x h is equivalent to

x < h and x = hx > h : region on the ri#htand

x < h : region on the leftof the line x = h

Re#i"n


To shade the region which satisfies the

inequalities of the form :

y > k, y < ky and y k

y > k : region a$"%ethe line

y < k : region $el"&the line

Re#i"n


To shade the region which satisfies

inequalities of the form :

y > ax ! b

y < ax ! b

y ax ! b and

y ax ! b

y > ax ! b : region a$"%ethe line

y < ax ! b : region $el"&the line

The line y = ax ! b is shown as a dotted line for region

satisfying y > ax ! b or y < ax ! b

"bove, solid line

#elow, solid line

> "bove, dotted line

< #elow, dotted line


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E'a!les "f sha(in# the Re#i"n re!resentin# the inequalities #i%en


To shade the region which satisfies two or

three inequalities

$onsider the inequality one by one

%f & inequalities are given, draw the & corresponding

lines, then determine the region that satisfies both theinequalities

%f ' inequalities are given, you must draw ' straight

lines The region has ' boundaries

Re#i"n

x > ( x < )

y *& y x

x ! y )


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E'a Orientate( E'a!les

)* On the #ra!h in the ans&er s!a+e, sha(e the re#i"n &hi+h satisf- the three inequalities

', , 'y y x x y > +

Pada graf di ruang jawapan, lorekkan rantau yang memuaskan ketiga-tiga ketaksamaan

', , 'y y x x y > +

Ans&er

.

.

' / - 0.

- 0 '

+awapan ialah tindanan ketiga*

tiga enis lorekkan sebagaimanadi atas


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.* On the #ra!h in the ans&er s!a+e, sha(e the re#i"n &hi+h satisf- the three inequalities

', ', ' 'y y x y x> + +

Pada graf di ruang jawapan, lorekkan rantau yang memuaskan ketiga-tiga ketaksamaan

', ', ' 'y y x y x> + +

7a&a!an 2

'

- 0 5' / .

& .*&

/

-

&

.

-

*&

*.

*(

'

*'

*' *-*-

- '


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. x ! &y ) , y x , x


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3 &y x !) , x ! y . , y >*-

4 y&x ! ), y x and y < (

-/ &y x ! . , y *x , x


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--0n the graph provided, shaded the region which satisfies the three inequalities

y &x ! 3 , y x and y < 3

-&0n the graph in the answer space , shade the region which satisfies the three

inequalities y *&x ! -/ , x < ( and y -/


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Ans&er97a&a!an 2

0n the graph provided, shade the region which satisfies the three inequalities

- y &x 1 ., y *x ! . y


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. x ! &y ) , y x , x


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2 y *x ! . , y &x , y/

3 &y x !) , x ! y . , y >*-

4 y&x ! ), y x and y < (


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-/ &y x ! . , y *x , x


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1 region of inequalities

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