Linear Inequalities in Two Variables

Yumi is determining the seating arrangement for her big dinner party.  Circular tables will seat 8 guests and rectangular tables can seat 10 guests.  Together, all of the tables must seat at least 162 guests.
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

Select the solution of the inequality

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Select the inequality that matches the solution

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Select the solution for the inequality

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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

Choose the correct inequality for this graph.

Write the inequality

• y>-5x-3

• y≥-5x-3

• y<-5x-3

• y≤-5x-3

Write the inequality

• y>2/3x-3

• y<2/3x-3

• y≤2/3x-3

• y≥2/3x-3

Write the inequalities

• x≤-2
  y≤x-3

• y≤-2
  y≤x-3

• x≥-2
  y≤x-3

• y≥-2
  y≤x-3

Write the inequalities

• y≥-2x+3
  y≤x-3

• y>2x+3
  y≥x-3

• y>-2x+3
  y≥x-3

• y<-2x+3
  y≤x-3