Inequalities in Two Variables and Mixed Practice, Quiz

Which point satisfies

3x + 2y \le 12

?

A

(1, 5)

B

(3, 2)

C

(2, 2)

D

(4, 1)

How is

y > 3x - 2

drawn?

A Solid line; shade the side containing the origin

B Solid line; shade the side away from the origin

C Dashed line; shade the side containing the origin

D Dashed line; shade the side away from the origin

How is

x \le -1

drawn?

A Dashed vertical line

x = -1

; shade to the left

B Solid vertical line

x = -1

; shade to the right

C Solid vertical line

x = -1

; shade to the left

D Solid horizontal line

y = -1

; shade below

What are the corners of the region

2x + 5y \le 20

,

x \ge 0

,

y \ge 0

?

A

(0, 0)

,

(10, 0)

,

(0, 4)

B

(0, 0)

,

(5, 0)

,

(0, 2)

C

(0, 0)

,

(20, 0)

,

(0, 20)

D

(0, 0)

,

(4, 0)

,

(0, 10)

What is the solution region of the system

x + y \ge 10

and

x + y \le 6

?

A Only the origin

B The strip between the two lines

C The whole plane

D There is no solution

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