Module 6 Systems of Linear Inequalities Quiz

Module 6: Systems of Linear Inequalities

1 / 5

Which inequality describes the solution set for

5𝑥 − 45 ≥ -2𝑥 + 4

𝑥 > 7

𝑥 ≥ 7

𝑥 ≤ 7

𝑥 > 1613

2 / 5

The graph of 4𝑥 + 𝑦 = -1 is shown

Coordinate plane from negative 5 to 5 on both axes with a steep line slanting downward from left to right. The line crosses the y axis at about negative 1 and passes near the points negative 2 comma 5 and 1 comma negative 5.

Which ordered pair is in the solution set of 4𝑥 + 𝑦 > -1?

(-1, -1)

(0, -1)

(1, -2.5)

(0, -2.5)

3 / 5

Which graph is the solution set for 𝑦 < -3𝑥 + 5?

Coordinate plane from negative 5 to 5 on both axes with a dashed boundary line slanting downward from left to right. The line passes through the points 0 comma 5 and 1 comma 0, with the region below and to the left of the line shaded gray.

Coordinate plane from negative 5 to 5 on both axes with a solid boundary line slanting downward from left to right. The line passes through the points 0 comma 5 and 1 comma 0, with the region above and to the right of the line shaded gray.

4 / 5

The student council is organizing a charity concert to raise money for a local animal shelter. They are selling two types of tickets: student tickets for $15 each and general admission tickets for $25 each.

The student council needs the ticket sales to be over $1,200 to cover their production costs and make a profit for the shelter.

Which inequality represents all possible combinations of 𝑥, the number of student tickets sold, and 𝑦, the number of general admission tickets sold?

15𝑥 + 25𝑦 > $1200

15𝑥 + 25𝑦 < $1200

15𝑥 + 25𝑦 ≤ $1200

15𝑥 + 25𝑦 ≥ $1200

5 / 5

Which graph best represents the solution set for the system of inequalities?

𝑦 > 𝑥 + 5

𝑦 ≥ -5𝑥

Coordinate plane showing a system of linear inequalities with a solid black line rising from left to right and a dashed red line slanting steeply downward through the points negative 1 comma 4 and 0 comma 0. The gray region is shaded above the solid black line and the red region is shaded to the right of the dashed red line, leaving an unshaded region below the black line and left of the red line.

Alt text: Coordinate plane showing a system of linear inequalities with a dashed black line rising from left to right and a solid red line slanting steeply downward through the points negative 1 comma 4 and 0 comma 0. The gray region is shaded below and to the right of the dashed black line, and the red region is shaded to the left of the solid red line, creating a darker overlapping solution region on the left side of the graph.

Coordinate plane showing a system of linear inequalities with a dashed black line rising from left to right and a solid red line slanting steeply downward through 0 comma 0. The gray region is shaded above the dashed black line, and the red region is shaded to the right of the solid red line, leaving an unshaded region on the lower left.

Coordinate plane showing a system of linear inequalities with a solid black line rising from left to right through the points negative 1 comma 4 and 0 comma 5, and a dashed red line slanting steeply downward through 0 comma 0. The gray region is shaded below and to the right of the solid black line, and the red region is shaded to the left of the dashed red line, creating a darker overlapping solution region on the left side of the graph.

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