Question # 1

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

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equation

inequality

linear equation

identity

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

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Bounded region

Convex region

Unbounded region

None

ax + by < c is linear inequality in

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four variables

three variables

two variables

one variable

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

A point where two of its boundary lines intersect is called

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Corner point

Feasible point

Vertex

Feasible solution

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

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Not effect

Change the sign

Become zero

Not defined

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

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straight line

half plane

parabola

none of these

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

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0

2

-2

3

(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

Which is not a half plane

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ax + by < c

ax + by > c

Both A and B

None

2x + 3y > 4 is a linear inequality in

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one variable

two variables

three variables

none of these

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

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Parabola

Circle

Hyperbola

Straight line

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

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A = B

A < B

A < x

B < y

The graph of y < 2 is the

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Left half plane

upper half plane

Right half plane

Lower half plane

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 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

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

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

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0

2

-1

-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)

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

ab > 0 and a > 0 then

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a > b

a < b

a = b

None

r + 3 >5 then which is true

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r + 2 > 4

r + 2 < 4

r + 2 = 4

None

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

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

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b

-b

-a

(a - b)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)

Optimize means ______ a quantity under certain constraints

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Minimize

Maximize

Maximize or minimize

None of these

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

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

3x + 4 > 0 is

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equation

inequality

identity

none of these

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