Question # 1

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

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b

-b

-a

(a - b)²

3x + 4 > 0 is

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equation

identity

inequality

none of these

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

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(1, -1)

(2,2)

(0,0)

(3,0)

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

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one variable

two variables

three variables

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

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

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

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Explicit function

Implicit function

Objective function

None

3x + 4 > 0 is

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equation

inequality

identity

none of these

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

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(0,1)

(2,1)

(2,2)

(3,3)

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

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Vertical line

Horizontal line

Non vertical line

Inequality

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

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

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Parabola

Circle

Hyperbola

Straight line

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

ax + by < c is linear inequality in

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four variables

three variables

two variables

one variable

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

There may be ______ feasible solution in the feasible region

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Infinite

Finite

Defined

None of above

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

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

x = -1 is in the solution of the inequality

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x + 5 < 0

2x + 3 < 0

x > 0

2x + 3 > 0

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)

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)

Optimize means ______ a quantity under certain constraints

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Minimize

Maximize

Maximize or minimize

None of these

Inequalities have ______ symbol

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2

3

4

1

The corner point of the boundary lines, x- 2x

x+2y=10 is:

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(8,1)

(1,8)

(6,10)

(3,5)

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

r + 3 >5 then which is true

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r + 2 > 4

r + 2 < 4

r + 2 = 4

None

Sum of two quantities is at least 20 is denoted by

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x +y =20

x +y≥ 20

x +y≠ 20

x +y≤20

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

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Solution

Domain

Range

None

Optimal solution is found by evaluation the objective function at

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All point of feasible region

Corner point

Origin

None

x = ________ is in the solution of 2x - 3 < 0

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2

-2

3

4

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