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Diagram 1 shows a shaded region drawn on a Cartesian plane. State three inequalities that define the shaded region. [3 marks] Rajah 1 menunjukkan kawasan berlorek dilukis pada satah Cartes. Nyatakan tiga ketaksamaan yang mentakrifkan kawasan tersebut. [3 markah]

Diagram 1 shows a shaded region drawn on a Cartesian plane. State three inequalities that define the shaded region. 

[3 marks]

Rajah 1 menunjukkan kawasan berlorek dilukis pada satah Cartes. Nyatakan tiga ketaksamaan yang mentakrifkan kawasan tersebut.

[3 markah]

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A. Acfreelance

Master Teacher

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Let the graphsis . For , the shade is belowthe boundary line. So, the inequality for is For , theshade isabove the boundary line. So the inequality for is Graph intersect Xaxis at and Y axis at , the lines isdashed line and theshade isabove the boundary line so the inequality for is .

Let the graphs is begin mathsize 14px style l subscript 1 comma space l subscript 2 comma space l subscript 3 end style.
 


 

For undefined, the shade is below the boundary line. So, the inequality for begin mathsize 14px style l subscript 1 end style is begin mathsize 14px style y less or equal than 6 end style

For undefined, the shade is above the boundary line. So the inequality for begin mathsize 14px style l subscript 2 end style is begin mathsize 14px style y greater or equal than x end style

Graph begin mathsize 14px style l subscript 3 end style intersect X axis at begin mathsize 14px style left parenthesis 6 comma 0 right parenthesis end style and Y axis at begin mathsize 14px style left parenthesis 0 comma 6 right parenthesis end style, the lines is dashed line and the shade is above the boundary line so the inequality for undefined is begin mathsize 14px style 6 x plus 6 y greater than 36 end style.

 

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