Illustrating & Graphing Linear Inequalities in Two Variables

Front

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

𝑥 + 𝑦 = 2

,

𝑥 + 5 > 8

,

3𝑚 + 5𝑛 < 10

,

3𝑞 – 2𝑞 ≠ 6

Back

3𝑚 + 5𝑛 < 10

Front

The sum of 𝑥 and 𝑦 is at most 15.

Back

𝑥 + 𝑦 ≤ 15

Front

Which inequality has (5, 1) as a solution? Options:

3𝑥 + 𝑦 ≤ 3

,

3𝑥 – 𝑦 ≤ 3

,

3𝑥 – 𝑦 < 15

,

3𝑥 + 𝑦 < 15

Back

3𝑥 – 𝑦 < 15

Front

5𝑥 + 3𝑦 > 12

Back

(3, 0)

Front

Which inequality is represented by the given graph? Options: 2𝑥 + 2𝑦 > 2, 3𝑥 + 2𝑦 < 2, 3𝑥 − 2𝑦 > 2, 3𝑥 – 2𝑦 < 2

Back

3𝑥 − 2𝑦 > 2

Front

Which is the correct inequality for the shaded region? Options: 𝑦 = − 𝑥 − 2, 𝑦 > −𝑥 − 2, 𝑦 < − 𝑥 + 2, 𝑦 > 𝑥 – 2

Back

𝑦 < − 𝑥 + 2

Front

Which of the following points satisfy the inequality 𝑦 < 2𝑥 – 3? Options: (5, 2), (2, 2), (2, 5), (0, 1)

Back

(5, 2)

Front

Inequality represented by the graph: 2𝑥 + 3𝑦 ≥ 15, 2𝑥 + 3𝑦 ≤ 15, 3𝑥 – 2𝑦 ≥ 15, 3𝑥 – 2𝑦 ≤ 15

Back

3𝑥 – 2𝑦 ≤ 15

Front

Transform 3𝑥 − 2𝑦 < 7 into slope-intercept form.

Back

𝑦 > 3/2 𝑥 − 7/2

Front

In the inequality 4𝑎 + 3𝑏 < 12, what could be the possible value of 𝑎 if 𝑏 = 2?

Back

𝑎 < 3/2