Question # 1

The points (x, y) which satisfy a linear inequality in two variables x and y from its

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domain

range

solution

none of these

(0,0) is in the solution of the inequality

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x + y > 3

x - y > 2

3x + 2y > 5

3x - 2y < 2

The graph of the linear equation of the form ax =by = c is a line which divided the plane into:

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Two similar regions

Two disjoint regions

Four equal parts

One region

The graph of y < 2 is the

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Left half plane

upper half plane

Right half plane

Lower half plane

The set of ordered pairs (x,y) such that ax+ by < c, and (x,y) such that ax + by>0, are called

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Linear Inequalities

Feasible regions

Half planes

Boundary

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

Each point of the feasible region is called

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Solution

feasible solution

Both a & b

None

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

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(0, -2)

(1, -3)

(2, 2)

(3, 0)

(0,1) is in the solution of the inequality

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3x + 2y > 8

2x - 3y < 4

2x + 3y > 5

x -2y < -5

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

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1

-2

-3

-4

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

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A = B

A < B

A < x

B < y

(1,0) is in the solution of the inequality

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3x + 2y > 8

2x - 3y < 4

2x + 3y > 3

x - 2y < -5

The point (1,3) is one solution of

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3x + 5y > 29

3x + 5y < 7

x + 2y < 4

x + 4y > 3

x = 0 is in the solution of the inequality

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x > 0

3x + 4 < 0

x + 3 < 0

x - 2 < 0

3x + 4 = 0 is

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not inequality

equation

identity

inequality

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

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0

2

-2

3

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

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> or <

= or≠

= or >

A farmer possesses 100 hectometers of land and wants to grow corn and wheat. Cultivations of corn requires 3 hours per hectometer while cultivation of wheat requires 2 hours per hectometer. Working hours cannot exceed 240. If he gets a profit of Rs. 20 per hectometer for corn and Rs. 15 per hectometer for wheat. The profit function for the farmer is

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P(x, y) = 20x + 15y

P(x, y) = 2x + 3y

P(x, y) = x + y

P(x, y) = 3x + 2y

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

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Bounded region

Convex region

Unbounded region

None

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

3x + 4 > 0 is

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equation

inequality

identity

none of these

Optimize means ______ a quantity under certain constraints

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Minimize

Maximize

Maximize or minimize

None of these

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

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Boundary

Inequality

Half plane

Vertex

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

3x + 4 < 0 is

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inequality

equation

identity

not inequality

There may be ______ feasible solution in the feasible region

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Infinite

Finite

Defined

None of above

(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

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)

x is a member of the set [-1, 0, 3, 5] y is a member of the set {-2, 1, 2, 4} which is possible?

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x - y = -6

x - y < -6

x - y > -6

None

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

ax + by < c is linear inequality in

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four variables

three variables

two variables

one variable

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

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