LINEAR INEQUALITIES IN TWO VARIABLES

Which of the following points satisfies the linear inequality

y > 3x - 1?

• (2, 4)

• (1, 2)

• (0, -2)

• (-1, 0)

Which shaded region in the diagram is defined by the linear inequality 2x - 5y < 10 ?

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Which of the following linear inequalities represents the shaded region in the above diagram?

• $3y\ge-x-3$

• $3y\ge-x-1$

• $3y\le-x-3$

• $3y\le-x-1$

The shaded region in the above diagram is defined by the following linear inequalities except

• $x>-2$

• $x\ge0$

• $y\le-x$

• $y\ge0$

 Which point does not satisfy the linear inequality  $2x+3y\le5$ ?

• (-2, 1)

• (0, -1)

• (2, 1)

• (4, -1)

A factory produces p handphones of model X and r handphones of model Y. The number of handphones of model Y cannot exceed the number of handphones of model X by more than 150. Which linear inequality represents the situation?

• $p-r\ge150$

• $p-r<150$

• $r-p<150$

• $r-p\le150$

Which point satisfies the linear inequalities  $y\ge\frac{1}{2}x+1$ and  $y\ge6-x$  ?

• (1, 3)

• (2, 1)

• (3, 4)

• (6, 2)

State the linear inequality, other than $2x+3y\ge6$ and  $y<2$ ,  which satisfies the shaded region in the above diagram.

•  $x>2$  

•  $x<2$  

•  $x>3$  

• x $x<3$  

The price of aT-shirt is RM60 and the price of a blouse is RM80. Alice wants to use RM500 tobuyxT-shirts andyblouses withabalance which is at most RM50. The number of T-shirts that she buys is more than the number of blouses. She buys at least 3 blouses. Which system of linear inequalities represents the situation?

• $x>y,\ y\ge3,\ 60x+80y\le450$

• $x>y,\ x\ge3,\ 60x+80y\ge450$

• $y>x,\ y\ge3,\ 60x+80y\ge450$

• $x>y,\ x\ge3,\ 60x+80y\le450$

Which of the regions, A, B, C or D, in the above diagram, satisfies the system of linear inequalities x ≥ 0, y ≥ 2x,

y < 9 - x and y + 2x > 4 ?

• A

• B

• C

• D