Question # 1

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p < r

p > rr

p + r < 0

p - r < 0

A point where two of its boundary lines intersect is called

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Corner point

Feasible point

Vertex

Feasible solution

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 graph of y < 2 is the

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Left half plane

upper half plane

Right half plane

Lower half plane

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

3x + 4 > 0 is

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equation

identity

inequality

none of these

The real numbers which satisfy an inequality form its

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solution

coefficient

domain

range

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

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Boundary

Inequality

Half plane

Vertex

(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

A point (x,y) which satisfy a linear inequality in two variables form its

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Solution

Domain

Range

None

A ________ divides the plane into left and right half planes.

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Vertical line

Horizontal line

Non vertical line

Inequality

Inequalities have ______ symbol

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2

3

4

1

x = -1 is in the solution of the inequality

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x + 5 < 0

2x + 3 < 0

x > 0

2x + 3 > 0

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

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

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b

-b

-a

(a - b)²

ax + by < c is linear inequality in

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four variables

three variables

two variables

one variable

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

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straight line

half plane

parabola

none of these

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

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A = B

A < B

A < x

B < y

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

inequality

identity

none of these

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 feasible region which can be enclosed within a circle is called

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Bounded region

Convex region

Unbounded region

None

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

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equation

inequality

linear equation

identity

(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 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

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

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(1, -1)

(2,2)

(0,0)

(3,0)

Multiplying each side of an inequality by (-1) will:

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Not effect

Change the sign

Become zero

Not defined

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 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

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