Question # 1

(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

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

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equation

inequality

linear equation

identity

3x + 4 < 0 is

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inequality

equation

identity

not inequality

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)

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 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

x = -1 is in the solution of the inequality

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x + 5 < 0

2x + 3 < 0

x > 0

2x + 3 > 0

(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

There may be ______ feasible solution in the feasible region

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Infinite

Finite

Defined

None of above

The points (x, y) which satisfy a linear inequality in two variables x and y from its

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domain

range

solution

none of these

(0,0) is in the solution of the inequality

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x + y > 3

x - y > 2

3x + 2y > 5

3x - 2y < 2

A farmer possesses 100 hectometers of land and wants to grow corn and wheat. Cultivations of corn requires 3 hours per hectometer while cultivation of wheat requires 2 hours per hectometer. Working hours cannot exceed 240. If he gets a profit of Rs. 20 per hectometer for corn and Rs. 15 per hectometer for wheat. The profit function for the farmer is

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P(x, y) = 20x + 15y

P(x, y) = 2x + 3y

P(x, y) = x + y

P(x, y) = 3x + 2y

The feasible region which can be enclosed within a circle is called

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Bounded region

Convex region

Unbounded region

None

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

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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1

-2

-3

-4

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

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0

2

-1

-2

The solution set of x < 4 is

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-∞< x < 4

-∞> x > 4

-∞< x < 2

-∞> x > 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

x = 0 is in the solution of the inequality

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x > 0

3x + 4 < 0

x + 3 < 0

x - 2 < 0

If 4 - x >5, then

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x > 1

x > -1

x < 1

x < -1

Optimize means ______ a quantity under certain constraints

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Minimize

Maximize

Maximize or minimize

None of these

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

(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

The graph of y < 2 is the

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Left half plane

upper half plane

Right half plane

Lower half plane

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

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

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straight line

half plane

parabola

none of these

3x + 4 < 0 is

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not inequality

equation

identity

inequality

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

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(3, 0)

(4, 1)

(1, 3)

None

The point _________ is in the solution of the inequality 2x + 3y < 5

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(1,1)

(2,2)

(0,1)

(0,2)

3x + 4 > 0 is

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equation

identity

inequality

none of these

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

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