Question # 1

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

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one variable

two variables

three variables

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)

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

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

ax + by < c is linear inequality in

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four variables

three variables

two variables

one variable

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

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Solution

Domain

Range

None

3x + 4 > 0 is

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equation

identity

inequality

none of these

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 + 5 < 0

2x + 3 < 0

x > 0

2x + 3 > 0

(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

(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

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

Inequalities have ______ symbol

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2

3

4

1

3x + 4 > 0 is

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equation

inequality

identity

none of these

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

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2

-2

3

4

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

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)

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

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b

-b

-a

(a - b)²

(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 + 3 > 0

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1

-2

-3

-4

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

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Not effect

Change the sign

Become zero

Not defined

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

ab > 0 and a > 0 then

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a > b

a < b

a = b

None

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

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

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0

2

-1

-2

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

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Parabola

Circle

Hyperbola

Straight line

The graph of y < 2 is the

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Left half plane

upper half plane

Right half plane

Lower half plane

3x + 4 = 0 is

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not inequality

equation

identity

inequality

Optimize means ______ a quantity under certain constraints

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Minimize

Maximize

Maximize or minimize

None of these

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

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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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