Linear Inequalities in two variables

Select the solution of the inequality

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Which inequality matches the picture shown?

• $y<-\frac{1}{2}x+5$

• $y\le-\frac{1}{2}x+5$

• $y>-\frac{1}{2}x+5$

• $y\ge-\frac{1}{2}x+5$

Which inequality matches the picture shown?

• $y>x$

• $y<x$

• $y>x$

• $y<x$

Which point below is NOT part of the solution set?

• $(0,\ 0)$

• $(-10,-10)$

• $(-1,\ 5)$

• $(5,\ 20)$

Which of the following equations match the given graph?

• $y\ ≤-\frac{3}{4}x+3$

• $y\ ≥-\frac{3}{4}x+3$

• $y<-\frac{3}{4}x+3$

• $y>-\frac{3}{4}x+3$

Consider the function y<2x+3. Which is true?

• The line would be solid with shading above.
• The line would be dashed with shading above.
• The line would be solid with shading below.
• None of these.

Aleris is sending a fancy organic fruit basket to her grandma for her birthday. Apples cost RM3 and oranges cost RM2. Aleris can spend no more than RM24 on the gift.

Write an inequality that describes the situation.

Let x = # of apples

Let y = # of oranges

Aleris ingin menyediakan sebakul buah-buahan yang organik untuk meraihkan hari jadi neneknya. Harga sebiji RM3 dan sebiji oren RM2. Aleris membelanja tidak melebihi RM24 ke atas buah-buahan itu.

Tulis satu ketaksamaan yang menggambarkan situasi diberi.

Katakan x = # epal dibeli

Katakan y = # oren dibeli

• $3x+2y<24$

• $3x+2y>24$

• $3x+2y≤24$

• $3x+2y≥24$

Choose the correct inequality for this graph.

• $y>2x-3$

• $y\ge2x-3$

• $y<2x-3$

• $y\le2x-3$

Choose the correct inequality for this graph.

• $y>\frac{1}{3}x-1$

• $y\ge\frac{1}{3}x-1$

• $y<3x+1$

• $y\le3x+1$

Choose the correct inequality for this graph.

• $y<\frac{3}{2}x+1$

• $y\le\frac{3}{2}x+1$

• $y<\frac{2}{3}x+1$

• $y\le\frac{2}{3}x+1$