Question # 1

The solution set of x < 4 is

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-∞< x < 4

-∞> x > 4

-∞< x < 2

-∞> x > 2

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

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0

2

-2

3

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

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Not effect

Change the sign

Become zero

Not defined

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p < r

p > rr

p + r < 0

p - r < 0

x = -1 is in the solution of the inequality

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x + 5 < 0

2x + 3 < 0

x > 0

2x + 3 > 0

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

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Parabola

Circle

Hyperbola

Straight line

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)

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)

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

Which is in the solution set of 4x - 3y < 2

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(3, 0)

(4, 1)

(1, 3)

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

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

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Solution

Domain

Range

None

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

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equation

inequality

linear equation

identity

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

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1

-2

-3

-4

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

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0

2

-1

-2

Each point of the feasible region is called

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Solution

feasible solution

Both a & b

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

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 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

Optimal solution is found by evaluation the objective function at

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All point of feasible region

Corner point

Origin

None

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

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(0, -2)

(1, -3)

(2, 2)

(3, 0)

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)

If 4 - x >5, then

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x > 1

x > -1

x < 1

x < -1

A point where two of its boundary lines intersect is called

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Corner point

Feasible point

Vertex

Feasible solution

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

ab > 0 and a > 0 then

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a > b

a < b

a = b

None

(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 graph of y < 2 is the

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Left half plane

upper half plane

Right half plane

Lower half plane

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

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one variable

two variables

three variables

none of these

(1, 1) is the in the solution of the inequality

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3x + 4y > 3

2x + 3y < 2

4x = 3y > 5

2c - 3y > 2

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