Question # 1

The inequality y > b is the open half plane to the ______ of the boundary line y = b:

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Above

Left

Below

Right

The region of the graph ax + by > c is called ______ half plane:

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Open

Boundary of

Closed

None of these

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One variable

Three variable

Two variable

Four variable

The graph of linear equation of the form ax + by = c is a _________ where a, b and c are constants and a, b are not both zero.

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Curve

Circle

Straight line

Parabola

The system of _________ involved in the problem concerned is called problem constraints:

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Linear inequalities

Equations

Linear equalities

None of these

y = b is a horizontal line perpendicular to ________:

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x - axis

y - axis may be

y - axis

None of these

A function, which is to be maximized or minimized is called an ________:

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Maximum function

Objective funciton

Minimum function

None of these

ax + b > c is an inequality of:

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One variable

Three variable

Two variable

Four variable

There are _______ feasible solutions in the feasible region:

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Finitely

Two

Infinitely many

Three

Non-vertical lines divide the plane into___________half plane:

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Upper and lower

Many

Left and Right

None of these

x = 4 is the solution of inequality:

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x + 3 > 0

x - 3 < 0

-2x + 3 > 0

x + 3 < 0

A line which divides a plane into two parts is called:

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Boundary point

Boundary line

Feasible line

None

A corner point is the point of intersection of:

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x-axis & y - axis

Boundary lines

Any two lines

None

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Open

Closed

Open as well as closed

None of these

The inequality x < a is the open half plane to the __________ of the boundary line x = a:

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Above

Left

Below

Right

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One variable

Three variable

Two variable

Four variable

x = c is a vertical line parallel to __________.

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x-axis

y-axis may be

y-axis

None of these

A region, which is restricted to the ________ quadrant, is referred to as a feasible region for the set of given contraints.

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First

Third

Second

Fourth

The graph of 2x + y < 2 is the open half plane which is ________ the origin side of 2x + y = 2:

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At

Not an

On

None of these

There are _______ ordered pairs that satisfy the inequality ax + by > c.

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Finitely many

Two

Infinitely many

Four

The feasible region is ________ if it can easily by enclosed within a circle.

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Bounded

Exist

Unbounded

None of these

For different values of k, the equation 4x + 5y = k represents lines ______ to the line 4x + 5y = 0.

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Perpendicular

Parallel

Equal

None of these

y = b is a horizontal line parallel to _________:

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x - axis

x - axis may be

y - axis

None of these

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