Linear Inequalities in Two Variables

Select the solution for the inequality

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What type of line is used with the following symbols, < and >?

• dashed or dotted

• solid

Angela wants to spend less than Php 200 on condiments. Each kilogram of salt costs Php 30, and each kilogram of pepper costs Php 90. Write an inequality that represents the number of kilograms of salt (s) and pepper (p) Angela can buy on her budget.

• 30s + 90p > 200

• 30s + 90p ≥ 200

• 30s + 90p < 200

• 30s + 90p ≤ 200

Is (-1, 0) a solution to this inequality?

• Yes

• No

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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Which point is a solution of the inequality y>-3x+5?

• (-1, -3)

• (1, -1)

• (-2, 12)

• (-3, 5)

Which of the following equations match the given graph?

• y  < 2/5x + 1

• y ≥ -2/5x + 1

• y ≤  2/5x + 1

• y ≥ -2/5x - 1

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, -10)

• (-1, 5)

• (5, 20)

Choose the correct inequality for this graph.

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