Question # 1

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

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2

-2

3

4

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 real numbers which satisfy an inequality form its

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solution

coefficient

domain

range

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

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Vertical line

Horizontal line

Non vertical line

Inequality

3x + 4 < 0 is

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inequality

equation

identity

not inequality

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

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(1,1)

(2,2)

(0,1)

(0,2)

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

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

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straight line

half plane

parabola

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)

(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

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

identity

inequality

none of these

x = -1 is in the solution of the inequality

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x + 5 < 0

2x + 3 < 0

x > 0

2x + 3 > 0

If 4 - x >5, then

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x > 1

x > -1

x < 1

x < -1

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 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

3x + 4 = 0 is

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not inequality

equation

identity

inequality

The point (1,3) is one solution of

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3x + 5y > 29

3x + 5y < 7

x + 2y < 4

x + 4y > 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

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

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 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

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

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equation

inequality

linear equation

identity

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

ax + by < c is linear inequality in

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four variables

three variables

two variables

one variable

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

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Vertex of the solution

Feasible point

Point of inequality

Null point of the solution region

Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0

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(1,4)

(4,2)

(3,1)

(4,1)

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

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