Inequalities Test

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Inequalities Test - 7

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Weekly Quiz Competition

Question 1
2 / -0.83

Find all pairs of consecutive even positive integers, both of which are larger than 5, such that their sum is less than 23.

A
(4,6),(6,8),(8,10)

B
(6,8) ,(8,10) ,(10,12)

C
(3,5), (5,7),(7,9)

D
none of these
Question 2
2 / -0.83

Solve : 3x + 5 < x − 7, when x is a real number

A
x <−12

B
x > − 6

C
x < − 6

D
none of these
Question 3
2 / -0.83

If x belongs to set of integers , A is the solution set of 2 (x − 1) < 3x − 1 and B is the solution set of 4x − 3 ≤ 8 + x, find A ∩B

A
{0 , 2 ,4}

B
{0, 1, 2, 3}

C
{1, 2 , 3}

D
{0 ,1 ,2}
Question 4
2 / -0.83

The solution set of the inequation:

A
x ∈W

B
null set

C
x ∈N

D
none of these.
Question 5
2 / -0.83

The solution set of 6x − 1 > 5 is :

A
{x : x >1, x ∈R}

B
{x : x <1, x ∈N}

C
{x : x <1, x ∈W}

D
none of these
Question 6
2 / -0.83

If | x − 2| = p, where x < 2, then x - p =

A
2 –2p

B
- 2

C
2p - 2

D
2
Question 7
2 / -0.83

A pack of coffee powder contains a mixture of x grams of coffee and y grams of choco. The amount of coffee powder is greater than that of choco and each pack is atleast 10 grams. Which of the following inequations describe the conditions given ?

A
x + y < 12 ; x > y

B
x + y ≥10 ; x > y

C
x + y < 10 ; x < y

D
none of these

Solution

The coffee powder is greater than choco
hence, x >y
each pack is at least 10 gm
Hence, x+y ≥10
Question 8
2 / -0.83

If a, b ,c are real numbers such that a > b , c > 0, then

A
ac > bc

B
ac < bc

C
ac ≥ bc

D
none of these.
Question 9
2 / -0.83

If a , b , c are real numbers such that a ≥ b , c > 0, then

A
ac < bc

B
ac > bc

C
ac ≥ bc

D
none of these
Question 10
2 / -0.83

Graph of the system of inequations x ≥ 0 , y ≤ 0 is

A
first quadrant

B
third quadrant

C
second quadrant

D
4^th quadrant

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Inequalities Test - 7

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Inequalities Test - 7

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SHARING IS CARING

Question 1

(4,6),(6,8),(8,10)

(6,8) ,(8,10) ,(10,12)

(3,5), (5,7),(7,9)

none of these

Question 2

x <−12

x > − 6

x < − 6

none of these

Question 3

{0 , 2 ,4}

{0, 1, 2, 3}

{1, 2 , 3}

{0 ,1 ,2}

Question 4

x ∈W

null set

x ∈N

none of these.

Question 5

{x : x >1, x ∈R}

{x : x <1, x ∈N}

{x : x <1, x ∈W}

none of these

Question 6

2 –2p

- 2

2p - 2

2

Question 7

x + y < 12 ; x > y

x + y ≥10 ; x > y

x + y < 10 ; x < y

none of these

Solution

Question 8

ac > bc

ac < bc

ac ≥ bc

none of these.

Question 9

ac < bc

ac > bc

ac ≥ bc

none of these

Question 10

first quadrant

third quadrant

second quadrant

4th quadrant

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4^th quadrant