Question # 1

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

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

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equation

inequality

linear equation

identity

Optimal solution is found by evaluation the objective function at

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All point of feasible region

Corner point

Origin

None

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

2x + y = 2 is:

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(2,6)

(6,2)

(-2,2)

(2,-2)

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

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(1, -1)

(2,2)

(0,0)

(3,0)

Inequalities have ______ symbol

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2

3

4

1

ab > 0 and a > 0 then

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a > b

a < b

a = b

None

x = -1 is in the solution of the inequality

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x + 5 < 0

2x + 3 < 0

x > 0

2x + 3 > 0

For graphing a linear inequality, solid line is drawn if the inequality involves the symbols:

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> or <

= or≠

= or >

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

3x + 4 = 0 is

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not inequality

equation

identity

inequality

The point (1,3) is one solution of

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3x + 5y > 29

3x + 5y < 7

x + 2y < 4

x + 4y > 3

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)

ax + by < c is linear inequality in

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four variables

three variables

two variables

one variable

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

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

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Solution

Domain

Range

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 graph of y < 2 is the

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Left half plane

upper half plane

Right half plane

Lower half plane

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p < r

p > rr

p + r < 0

p - r < 0

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

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2

-2

3

4

The real numbers which satisfy an inequality form its

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solution

coefficient

domain

range

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)

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

3x + 4 < 0 is

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inequality

equation

identity

not inequality

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

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Vertical line

Horizontal line

Non vertical line

Inequality

Maximum value of z =15x +20y subject to 3x+ 4y≤ 12,x,y≥ 0 is given by

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46

60

50

70

3x + 4 < 0 is

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not inequality

equation

identity

inequality

(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

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

3x + 4 > 0 is

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equation

identity

inequality

none of these

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

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Parabola

Circle

Hyperbola

Straight line

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