Question # 1

The real numbers which satisfy an inequality form its

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solution

coefficient

domain

range

(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

s > t then

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(s - t)²> (t - s)²

(s - t)²< (t - s)²

(s - t)²= (t - s)²

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

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

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one variable

two variables

three variables

none of these

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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not inequality

equation

identity

inequality

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

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0

2

-2

3

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 solution set of x < 4 is

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-∞< x < 4

-∞> x > 4

-∞< x < 2

-∞> x > 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 point (1,3) is one solution of

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3x + 5y > 29

3x + 5y < 7

x + 2y < 4

x + 4y > 3

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

Optimize means ______ a quantity under certain constraints

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Minimize

Maximize

Maximize or minimize

None of these

(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

Optimal solution is found by evaluation the objective function at

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All point of feasible region

Corner point

Origin

None

(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

If x < y, 2x = A, and 2y = B, then

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A = B

A < B

A < x

B < y

3x + 4 > 0 is

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equation

inequality

identity

none of these

The graph of the linear equation of the form ax =by = c is a line which divided the plane into:

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Two similar regions

Two disjoint regions

Four equal parts

One region

x = 0 is in the solution of the inequality

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x > 0

3x + 4 < 0

x + 3 < 0

x - 2 < 0

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

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straight line

half plane

parabola

none of these

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)

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

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(0, -2)

(1, -3)

(2, 2)

(3, 0)

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

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

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

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Not effect

Change the sign

Become zero

Not defined

There may be ______ feasible solution in the feasible region

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Infinite

Finite

Defined

None of above

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

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(1, -1)

(2,2)

(0,0)

(3,0)

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

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

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