Graphical Solutions of Inequalities of the form x<a; x>a; x≤a; x ≥ a

Q. If $x>4$ and $x$ is an integer, then select the correct representation on the number line.

1. 
2. 
3. 

Q. What is the correct way of representing $y<5$ on a number line $?$

1. 
2. 

Q.
For the given diagram, the correct inequality is .

1. $a\ge -4$
2. $a\le -4$
3. $a<-4$

Q.
For the given diagram, the correct inequality is represented as .

1. $x\le 8$
2. $x\ge 8$
3. $x>8$

Q. In order to be admitted into the United States Army, a person's height must be greater than or equal to 60 inches and less than 80 inches. Which graph represents these conditions?

Note: In a number line, a closed circle on the number gets included in the solution, while an open circle on the number will not get included in the solution.

1. 
2. 
3. 
4. 

Q. Which of the following option(s) satisfy the inequality $1\le x<7?$

1. $x=0$
2. $x=3$
3. $x=10$
4. $x=5$

Q. $z$ is an integer such that $z\ge 5$. Select the correct representation on the number line.

1. 
2. 
3. 

Q. The number of integers which satisfy the inequality $5<x\le 13$ is

Q. If we plot $x<10$ on the number line, $10$ will be marked with a hollow circle.

1. True
2. False

Q. What inequality is represented on this number line?
Note: In a number line, a closed circle on the number gets included in the solution, while an open circle on the number will not get included in the solution.

1. $1\le x<4$
2. $1\le x\le 4$
3. $1<x\le 4$
4. $1<x$

Q.

Which one of the following inequality is represented on this number line?


Note: In a number line, a closed circle on the number gets included in the solution, while an open circle on the number will not get included in the solution.

1. $-3\le x<4$
2. $-3\le x\le 4$
3. $-3<x\le 4$
4. $4\le x<-3$