Question # 1

Which is in the solution set of 4x - 3y < 2

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(3, 0)

(4, 1)

(1, 3)

None

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)

Inequalities have ______ symbol

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2

3

4

1

Which of the following is not a solution of system of inequalities 2x- 3y ≤6,2x +y≥ 2,x +2y≤ 8, x≥ 0,y ≥ 0

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(1,0)

(0,4)

(3,0)

(8,0)

There may be ______ feasible solution in the feasible region

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Infinite

Finite

Defined

None of above

The graph of y> 0 is the upper - half of:

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y-axis

x-axis

1st and 4th quandrant

2nd and 3rd quadrant

Each point of the feasible region is called

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Solution

feasible solution

Both a & b

None

ab > 0 and a > 0 then

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a > b

a < b

a = b

None

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

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b

-b

-a

(a - b)²

The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is

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120

100

140

160

The feasible region which can be enclosed within a circle is called

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Bounded region

Convex region

Unbounded region

None

3x + 4 < 0 is

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not inequality

equation

identity

inequality

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

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(1,1)

(2,2)

(0,1)

(0,2)

The real numbers which satisfy an inequality form its

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solution

coefficient

domain

range

A point where two of its boundary lines intersect is called

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Corner point

Feasible point

Vertex

Feasible solution

The solution set of x < 4 is

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-∞< x < 4

-∞> x > 4

-∞< x < 2

-∞> x > 2

An expression involving any of the symbols <,>,< or > is called

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equation

inequality

linear equation

identity

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)

A point of a solution regions where two of its boundary lines intersect, is called:

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Vertex of the solution

Feasible point

Point of inequality

Null point of the solution region

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

2x + y = 2 is:

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(2,6)

(6,2)

(-2,2)

(2,-2)

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

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(0, -2)

(1, -3)

(2, 2)

(3, 0)

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

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A = B

A < B

A < x

B < y

A point of a solution region where two of its boundary lines intersect, is called

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Boundary

Inequality

Half plane

Vertex

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

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(0,1)

(2,1)

(2,2)

(3,3)

x = ________ is in the solution of 2x - 5 > 0

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0

2

-2

3

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

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Parabola

Circle

Hyperbola

Straight line

Optimize means ______ a quantity under certain constraints

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Minimize

Maximize

Maximize or minimize

None of these

3x + 4 > 0 is

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equation

identity

inequality

none of these

3x + 4 < 0 is

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inequality

equation

identity

not inequality

If 4 - x >5, then

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x > 1

x > -1

x < 1

x < -1

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Mathematics ECAT Pre Engineering Chapter 21 Linear Inequalities and Linear Programming Online Test MCQs With Answers

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