Linear Inequalities and Applications Quiz

Explore linear inequalities and their applications with this quiz. Test your knowledge on solution sets, graphical representations, and more!

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Which of the following represents a linear inequality?

x^2 + 2x - 3 > 0

3x + 4y = 7

2x + 5 < 10

|x - 3| = 5

What is the solution set for the inequality 2x - 5 ≥ 7?

{x | x ≥ 6}

{x | x ≤ 6}

{x | x ≥ -1}

{x | x ≤ -1}

What is the solution set for the inequality 4x + 3 > 15?

{x | x > 3}

{x | x > 3.5}

{x | x > 3.75}

{x | x > 4}

What is the solution set for the inequality 3x + 2 ≤ 11?

{x | x ≥ 3}

{x | x ≤ 3}

{x | x ≥ 4}

{x | x ≤ 4}

Which of the following represents the graph of the inequality y < 2x + 3?

A line passing through (0, 3) and (1, 5)

A line passing through (0, -3) and (1, 2)

A line passing through (-3, 0) and (2, 4)

A line passing through (-3, 0) and (2, 7)

For the inequality 3x - 4 ≤ 5, which of the following represents the solution set graphically?

A line parallel to the x-axis passing through (0, 1)

A line parallel to the x-axis passing through (0, -1)

A line parallel to the y-axis passing through (1, 0)

A line parallel to the y-axis passing through (-1, 0)

Which of the following inequalities represents the shaded region in the graph below?

y ≤ -2x + 4

y ≥ -2x + 4

y ≤ 2x + 4

y ≥ 2x + 4

Which of the following inequalities has a solution set that represents a line?

2x - 3y > 6

3x + 2y ≤ 9

4x + 2y = 8

-3x + 5y ≥ -10

Which of the following represents the solution set for the inequality -2x + 3y ≥ 6?

{(x, y) | y ≥ 2x + 3}

{(x, y) | y ≤ 2x + 3}

{(x, y) | y ≥ 2x - 3}

{(x, y) | y ≤ 2x - 3}

#10

Which of the following inequalities represents a region that is unbounded?

2x + 3y ≤ 6

x + y > 7

-4x + y ≥ 8

3x - 2y < 12

#11

Which of the following inequalities represents a shaded region above and to the right of the line?

y > -2x + 3

y < 4x - 1

y ≤ x + 2

y ≥ 2x - 5

#12

For the inequality 2y - x > 6, which of the following is true?

The shaded region lies above the line.

The shaded region lies below the line.

The shaded region lies to the right of the line.

The shaded region lies to the left of the line.

Linear Inequalities and Applications Quiz

Which of the following represents a linear inequality?

What is the solution set for the inequality 2x - 5 ≥ 7?

What is the solution set for the inequality 4x + 3 > 15?

What is the solution set for the inequality 3x + 2 ≤ 11?

Which of the following represents the graph of the inequality y < 2x + 3?

For the inequality 3x - 4 ≤ 5, which of the following represents the solution set graphically?

Which of the following inequalities represents the shaded region in the graph below?

Which of the following inequalities has a solution set that represents a line?

Which of the following represents the solution set for the inequality -2x + 3y ≥ 6?

Which of the following inequalities represents a region that is unbounded?

Which of the following inequalities represents a shaded region above and to the right of the line?

For the inequality 2y - x > 6, which of the following is true?

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