Graphical Representation of Inequation

Q. Which of the following number line represents the solution of inequation:
$-x>1,\text{where}x\text{is an integer}$?

1. 
2. 
3. 
4. 

Q. Represent the solution of the following inequation on a number line, when x is an integer.
$10<-5x<25$

1. 
2. 
3. 
4. 

Q. Find the number of integer values of $x$ that satisfies the inequation:

$-x^2+2x+15>0;y\in \text{R}.$

1. 7

Q.

Solve the inequation $6x-7<2x+5,x\in$ W and graph the solution on the number line.

1. 

2. 

3. 

4. 

Q.

With the help of a number line, give two possible integral values of $x$ if : $x>3$

Q. Mark the solution of the following linear inequation on a number line.
$-6y+2\le 14,y\text{is a natural number.}$

1. 
2. 
3. 
4. 

Q. The number of elements present in the solution set of 4x - 28 < 1, x $\in$ N is .

1. 6
2. 7
3. 8
4. 9

Q. Represent the solution of the following inequation on a number line when x is an integer:
$-1\le x+3\le 4$

1. 
2. 
3. 
4. 4

Q. The solution set for {$x:9<2x-7<21,x\in N$} is .

1. {9, 10, 11, 12, 13}
2. {9, 10, 11}
3. {9, 10, 11, 12}
4. {8, 9, 10, 11, 12, 13}

Q. Which of the following number line represents the solution of the inequation:
$5x-13>-18,$( $x$ is an integer less than 5)?

1. 
2. 
3. 
4. 

Q. Represent the solution of the following inequation on a number line, when x is an integer.
$10<-5x<25$

1. 
2. 
3. 
4. 

Q. Which of the following number line represents solution of the equation: - 1 < x + 3 < 6, if x is an integer.

1. 
2. 
3. 
4. None of the above

Q. Mark the solution of the following linear inequation on a number line.
$-6y+2\le 14,y\text{is a natural number.}$

1. 
2. 
3. 
4. 

Q.

If solution sets of $P$ and $Q$ are shown by two separate number line

(i) Write down the set-builder form of $P$ and $Q$

(ii) Represent each of the following sets on different number lines: (a) $P\cup Q$, (b) $P\cap Q$, (c) $P\cap Q$

Q. Find the solution of the inequation:
$2\le y+5\le 9,$
when y is a whole number.

1. $1,2,3,4$
2. $-3,-2,-1,0,1,2,3,4$
3. $0,1,2,3,4$
4. $-3,-2,-1$

Q. If - 4 < x < 6 and x is an integer, then burst the possible values of x.

1. - 1
2. - 5
3. \N
4. 4
5. 2
6. -3
7. 6
8. 3

Q.

Given $\text{A}=\{x:11x-5>7x+3,xϵR\}$ and $\text{B}=\{x:18x-9\ge 15+12x,xϵR\}.$
Find the range of set $A\cap B$.

1. $\{x:x\ge 4,xϵR\}$
2. $\{x:x\le 4,xϵR\}$
3. $\{x:x<4,xϵR\}$
4. $\{x:x>4,xϵR\}$

Q. Which of the following number line represents the solution of the inequation:
$5x-13>-18,$( $x$ is an integer less than 5)?

1. 
2. 
3. 
4. 

Q. Mark the solution of the following linear inequation on a number line.
$-6y+2\le 14,y\text{is a natural number.}$

1. 
2. 
3. 
4. 

Q. Which of the following number line represents the solution of the inequation: $x+2>3;x\in \text{N}$?

1. 
2. 
3. 
4. 

Q. Which of the following number line represents the inequation: $-4\le y<3;y\in I$?

1. 
2. 
3. 
4. None of the above

Q. If x is a natutal number, then for values of x the inequation 5x-23 < 0 is valid.

1. 2
2. 4
3. 5
4. 6

Q. Which of the following is the correct representation of the inequation:
$3x\le 9,x\text{is a natural number.}$

1. 
2. 
3. 
4.