Question # 1

(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

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

Optimize means ______ a quantity under certain constraints

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Minimize

Maximize

Maximize or minimize

None of these

3x + 4 > 0 is

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equation

inequality

identity

none of these

(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

x = -1 is in the solution of the inequality

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x + 5 < 0

2x + 3 < 0

x > 0

2x + 3 > 0

3x + 4 > 0 is

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equation

identity

inequality

none of these

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

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Vertical line

Horizontal line

Non vertical line

Inequality

A point of a solution region where two of its boundary lines intersect, is called

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Boundary

Inequality

Half plane

Vertex

Optimal solution is found by evaluation the objective function at

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All point of feasible region

Corner point

Origin

None

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

ab > 0 and a > 0 then

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a > b

a < b

a = 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

(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

3x + 4 < 0 is

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not inequality

equation

identity

inequality

The solution set of the inequality ax + by < c is

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straight line

half plane

parabola

none of these

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

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

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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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1

-2

-3

-4

3x + 4 < 0 is

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inequality

equation

identity

not inequality

If 4 - x >5, then

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x > 1

x > -1

x < 1

x < -1

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

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0

2

-2

3

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

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equation

inequality

linear equation

identity

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

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> or <

= or≠

= or >

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

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(1, -1)

(2,2)

(0,0)

(3,0)

r + 3 >5 then which is true

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r + 2 > 4

r + 2 < 4

r + 2 = 4

None

Each point of the feasible region is called

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Solution

feasible solution

Both a & b

None

x = 0 is in the solution of the inequality

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x > 0

3x + 4 < 0

x + 3 < 0

x - 2 < 0

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)

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

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Explicit function

Implicit function

Objective function

None

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ECAT Pre General Science Mathematics Chapter 21 Linear Inequalities and Linear Programming Online Test MCQs With Answers

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