Inequality Solutions Sets

Which of the following is a system of linear inequalities in two variables?

• 3m + 2n ≤ 4

  4m – 3n ≥ 10

• 4a - 3b =5

  a + 2b = 7

• 3x ≥ 16

  y ≥ 15

• 7c + 3d < 8

  5c – 7 = 10

Which of the following situation DOES NOT illustrate x + y ≤ 7?

• The sum of two numbers is not greater than seven.

• The sum of two numbers is less than seven.

• The sum of two numbers is not more than seven.

• The sum of two numbers is at most seven.

Which of the following is a graph of a system of linear inequalities in two variables?

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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

Which of the following is a linear inequality in two variables?

• 4x − 5 > 9

• x + 4y = 7

• 2x − 3y ≥ 10

• 6 + 7y < 11

Which of the following is a graph of a linear inequality in two variables?

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Which inequality matches the graph?

• A

• B

• C

• D

Which integers fulfill the inequality?

• 5 and 6

• 6 and 7

• 7 and 8

• 8 and 9

Solve the inequality for w

• multiple solutions

• no real solutions

• w < 5

• w > 15

Match the graph to its inequality.
(see green graph)

• y > -(x² + 5x + 6)

• y > x² + x - 6

• y < x² - 5x + 6

• y < -(x² + x - 6)