Question # 1

Which is not a half plane

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ax + by < c

ax + by > c

Both A and B

None

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p < r

p > rr

p + r < 0

p - r < 0

For graphing a linear inequality, solid line is drawn if the inequality involves the symbols:

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> or <

= or≠

= or >

(1, 1) is the in the solution of the inequality

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3x + 4y > 3

2x + 3y < 2

4x = 3y > 5

2c - 3y > 2

3x + 4 > 0 is

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equation

inequality

identity

none of these

The real numbers which satisfy an inequality form its

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solution

coefficient

domain

range

Optimal solution is found by evaluation the objective function at

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All point of feasible region

Corner point

Origin

None

The point ________ is in the solution of the inequality 2x - 3y > 5

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(1, -1)

(2,2)

(0,0)

(3,0)

A point where two of its boundary lines intersect is called

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Corner point

Feasible point

Vertex

Feasible solution

If ab > 0 and a < 0, which of the following is negative?

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b

-b

-a

(a - b)²

x = 0 is in the solution of the inequality

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x > 0

3x + 4 < 0

x + 3 < 0

x - 2 < 0

The solution set of the inequality ax + by < c is

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straight line

half plane

parabola

none of these

Sum of two quantities is at least 20 is denoted by

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x +y =20

x +y≥ 20

x +y≠ 20

x +y≤20

x = _________ is in the solution of 2x + 3 < 0

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0

2

-1

-2

Order (or sense) of an inequality is changed by multiplying or dividing its each side by a:

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Zero

one

negative constant

Non negative constant

The point _________ is in the solution of the inequality 2x + 3y < 5

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(1,1)

(2,2)

(0,1)

(0,2)

x = ________ is in the solution of 2x + 3 > 0

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1

-2

-3

-4

Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0

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(1,4)

(4,2)

(3,1)

(4,1)

If -1 < x < 0, which of the following statements must be true?

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x < x²< x³

x < x³< x²

x²< x³< x

x²< x < x³

(1, 2) is in the solution of the inequality

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2x + y > 8

2x + y < 6

2x - y > 1

2x + 3y < 2

(2, 1) is in the solution of the inequality

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2x + y > 7

x - y > 2

3x + 5y < 6

2x + y < 6

The graph of linear equation 2x + 3y = 10

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Parabola

Circle

Hyperbola

Straight line

The liner equation ax + by = c is called _________ of the inequality ax +by > c.

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Associated equation

Non-associated equation

disjoint equation

Feasible equation

Maximum value of z =15x +20y subject to 3x+ 4y≤ 12,x,y≥ 0 is given by

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46

60

50

70

The point ________ is in the solution of the inequality 4x - 3y < 2

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(0,1)

(2,1)

(2,2)

(3,3)

If x < y, 2x = A, and 2y = B, then

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A = B

A < B

A < x

B < y

Which of the following ordered pair is a solution of the inequality x+2y<6?

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(2,3)

(2,2)

(6,0)

(1,1)

ax + by < c is linear inequality in

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four variables

three variables

two variables

one variable

The corner point of the boundary lines, x- 2x

x+2y=10 is:

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(8,1)

(1,8)

(6,10)

(3,5)

A function which is to be maximized or minimized is called an

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Explicit function

Implicit function

Objective function

None

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