Question # 1

If 4 - x >5, then

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x > 1

x > -1

x < 1

x < -1

Each point of the feasible region is called

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Solution

feasible solution

Both a & b

None

(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

3x + 4 < 0 is

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not inequality

equation

identity

inequality

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

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1

-2

-3

-4

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

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)

s > t then

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(s - t)²> (t - s)²

(s - t)²< (t - s)²

(s - t)²= (t - s)²

None

There may be ______ feasible solution in the feasible region

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Infinite

Finite

Defined

None of above

Optimize means ______ a quantity under certain constraints

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Minimize

Maximize

Maximize or minimize

None of these

A point where two of its boundary lines intersect is called

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Corner point

Feasible point

Vertex

Feasible solution

3x + 4 = 0 is

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not inequality

equation

identity

inequality

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

The graph of y < 2 is the

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Left half plane

upper half plane

Right half plane

Lower half plane

Inequalities have ______ symbol

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2

3

4

1

Which is not a half plane

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ax + by < c

ax + by > c

Both A and B

None

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

The total cost of 2 apples and 3 oranges is $1.70, which of the following is true

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The cost of one apple

The cost of one orange

Both have equal cost per item

Cost of each single item can not be determined

3x + 4 < 0 is

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inequality

equation

identity

not inequality

Optimal solution is found by evaluation the objective function at

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All point of feasible region

Corner point

Origin

None

(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

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

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0

2

-2

3

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

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

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one variable

two variables

three variables

none of these

x = -1 is in the solution of the inequality

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x + 5 < 0

2x + 3 < 0

x > 0

2x + 3 > 0

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

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)

(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

ax + by < c is linear inequality in

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four variables

three variables

two variables

one variable

A function which is to be maximized or minimized is called an

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Explicit function

Implicit function

Objective function

None

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

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(0,1)

(2,1)

(2,2)

(3,3)

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