Question # 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

(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

There may be ______ feasible solution in the feasible region

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Infinite

Finite

Defined

None of above

The point (1,3) is one solution of

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3x + 5y > 29

3x + 5y < 7

x + 2y < 4

x + 4y > 3

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

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

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0

2

-2

3

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

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0

2

-1

-2

For which of the following ordered pairs (s, t) is s + t > 2 and s - t < -3?

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(3, 2)

(2, 3)

(1, 8)

(0, 3)

3x + 4 > 0 is

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equation

identity

inequality

none of these

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

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> or <

= or≠

= or >

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

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)

r + 3 >5 then which is true

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r + 2 > 4

r + 2 < 4

r + 2 = 4

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

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

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(1, -1)

(2,2)

(0,0)

(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

If 4 - x >5, then

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x > 1

x > -1

x < 1

x < -1

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

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straight line

half plane

parabola

none of these

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

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

(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

ab > 0 and a > 0 then

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a > b

a < b

a = b

None

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

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A = B

A < B

A < x

B < y

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

x = 1 is in the solution of the inequality

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x + 1 > 0

x - 2 > 0

3x - 1 < 0

x + 2 < 0

Which is not a half plane

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ax + by < c

ax + by > c

Both A and B

None

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)

Optimal solution is found by evaluation the objective function at

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All point of feasible region

Corner point

Origin

None

x = -1 is in the solution of the inequality

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x + 5 < 0

2x + 3 < 0

x > 0

2x + 3 > 0

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

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