Question # 1

The solution set of x < 4 is

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-∞< x < 4

-∞> x > 4

-∞< x < 2

-∞> x > 2

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

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Not effect

Change the sign

Become zero

Not defined

(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

3x + 4 > 0 is

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equation

inequality

identity

none of these

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

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

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Explicit function

Implicit function

Objective function

None

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

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(0,1)

(2,1)

(2,2)

(3,3)

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

Optimize means ______ a quantity under certain constraints

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Minimize

Maximize

Maximize or minimize

None of these

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)

(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

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

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0

2

-1

-2

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

(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

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

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

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b

-b

-a

(a - b)²

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

3x + 4 > 0 is

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equation

identity

inequality

none of these

Each point of the feasible region is called

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Solution

feasible solution

Both a & b

None

x = ________ is in the solution of 2x + 3 > 0

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1

-2

-3

-4

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

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

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(1,1)

(2,2)

(0,1)

(0,2)

Optimal solution is found by evaluation the objective function at

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All point of feasible region

Corner point

Origin

None

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

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equation

inequality

linear equation

identity

(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 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

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)

There may be ______ feasible solution in the feasible region

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Infinite

Finite

Defined

None of above

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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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