Illustrating and Graphing Linear Inequalities in Two Variable

Which of the following inequalities illustrate “the sum of 𝑥 and 𝑦 is at most 15”?

• 𝑥 + 𝑦 = 15

• 𝑥 + 𝑦 > 15

• 𝑥 + 𝑦 ≤ 15

• 𝑥 + 𝑦 ≥ 15

For what possible values of 𝑥 and 𝑦 will make the inequality 5𝑥 + 3𝑦 > 12 true?

• ( 0, 3 )

• ( 3, -1 )

• ( 1, 1 )

• ( 3, 0 )

Which of the following inequalities is represented by the given graph?

• 2𝑥 + 2𝑦 > 2

• 3𝑥 + 2𝑦 < 2

• 3𝑥 − 2𝑦 > 2

• 3𝑥 – 2𝑦 < 2

Which is the correct inequality for the shaded region?

• 𝑦 = − 𝑥 − 2

• 𝑦 > −𝑥 − 2

• . 𝑦 < − 𝑥 + 2

• 𝑦 > 𝑥 – 2

Which of the following points satisfy the inequality 𝑦 < 2𝑥 – 3?

• (5, 2)

• (2, 2)

• (2, 5)

• (0, 1)

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

• 𝑦 < 3/2 𝑥 + 7/2

• 𝑦 > 3/2 𝑥 + 7/2

• 𝑦 > 3/2 𝑥 − 7/2

• 𝑦 > 2/3 𝑥 − 7/3

The graph of 𝑦 ≤ 2𝑥 + 5 is shown below, which of the following ordered pair does not satisfies the inequality?

• (2, −5)

• (5, 2)

• (−2, 7)

• (5, −7)

To graph 2𝑥 + 𝑦 ≥ 4, we begin by graphing the boundary line of the inequality, what is the slope (m) and y-intercept (b) of the inequality?

• 𝑚 = −2, 𝑏 = −1

• 𝑚 = −2, 𝑏 = 4

• 𝑚 = 2, 𝑏 = −4

• 𝑚 = 2, 𝑏 = −1

What is the graph of linear inequality?

• half-plane

• parabola

• hyperbola

• straight line

Ordered pair ( 6, -1 ) is a solution of x−y ≥ 7

• TRUE

• FALSE