Creating Linear Inequalities in Two Variables

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

• The line would be solid with shading above.

• The line would be dotted with shading above.

• The line would be solid with shading below.

• None of the above

Is (0,0) a solution to the inequality, y > -x +1?

• Yes

• No

Which point below is part of the solution set?

• (0,-2)

• (1,3)

• (3,-4)

• (8,1)

If the inequality symbol is < or >, the line will be _________.

• solid

• dotted

Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than RM81. An order of breadsticks costs RM7 and a pizza costs RM13.

• 7x + 13y < 81

• 7x + 13y ≤ 81

• 7x + 13y ≥ 81

• 7x + 13y > 81

Which inequality matches the picture shown?

• y < -1/2 x + 5

• y > -1/2 x + 5

• y < -1/2 x + 5

• y > -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)

• (-1, 5)

• (-10, -10)

• (5, 20)

Which of the following equations match the given graph?

• y ≤ -3/4 x + 3

• y < -3/4 x + 3

• y ≥ -3/4 x + 3

• y > -3/4 x + 3

Yumi is determining the seating arrangement for her big dinner party. Circular tables will seat 8 guests and rectangular tables can seat 10 guests. Yumi is informed that at least 162 guests are attending. Write an inequality that describes the situation. Let x = # of circular tables Let y = # of rectangular tables

• 8x + 10y < 162

• 8x + 10y ≤ 162

• 8x + 10y > 162

• 8x + 10y ≥ 162