Illustrating and Graphing Linear Inequalities of Two Variables

Front

Back

Front

What is the graph of linear inequalities in two variables?

Back

half-plane

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

Points that satisfy the inequality 𝑦 < 2𝑥 – 3: (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

Front

Solutions of the inequality 𝑥 + 2𝑦 > 5?

Back

The solutions are located above the line.

Front

Slope (m) and y-intercept (b) of the inequality 2𝑥 + 𝑦 ≥ 4?

Back

𝑚 = −2, 𝑏 = 4