Simultaneous Solution of Inequalities of the form x≥a and x≤b

Q. If $x$ is an integer and the range of $x$ is represented on this number line.Find out the possible value(s) of $x$.

1. -3
2. -3.1
3. 4
4. 0

Q. Find the number of integers lying between $x\ge -2$ and $x\le 5$

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

Q. In order to qualify for an american military, Minimum height of a candidate will be 60 inches. A candidate should be disqualified if he is taller than 80 inches. Express the above situation as an inequality, if "h" is the height of the candidate

1. $60\le h<80$
2. $60\le h\ge 80$
3. $60\le h\le 80$
4. $60<h\le 80$

Q. William has $5$ game drives for his playstation. His shelf of game drives can only accommodate $5$ more game drives. He went to a game parlour to buy new game drives. Assume that William gets $W$ new game drives and he buys at least $1$ game drive. The compound inequality that correctly represents the number of new game drives he can get in order to fit in his shelf is:

1. $1<W<5$
2. $1\le W\le 5$

Q. Which of the following number line represents $t\ge -2$ and $t\le 2$?
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. Express $a\ge -2$ and $a\le 1$ as a compound inequality.

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

Q. To locate $\frac{a}{b}$abon the number line, where $a$ and $b$ are integers $(\ne 0)$, the width between the consecutive integers must be divided into _____ equal parts.

1. $a+b$
2. $a\times b$
3. $a$
4. $b$

Q. Match the following:

1. $5<x<10$
2. $5<x\le 10$
3. $5\le x<10$
4. $5\le x\le 10$