Simultaneous Solution of Inequalities of the form x≥a and x<b; x>a and x<b

Q. Match the following inequalities to their respective solutions

1. $-2>-6$
2. $6<10$
3. $-4<4$

Q. Sophia has to get at least 4 marks out of 10 on her maths test to pass. In the test, one mark is awarded for one correct answer and there is not provision of negative marking. Assuming Sophia fails her test, select the number line representation of the inequality that depicts her marks.

1. 
2. 

Q. Express $a\ge -3$ and $a<3$ as a compound inequality.

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

Q. Mike's mother told him to bring sugar from the shop. She said "bring atleast 2kg of sugar but less than 3kg". What amount of sugar from the given option can Mike bring?

1. 2 kg
2. 1.5kg
3. 3kg
4. 3.5kg

Q. Assuming that $M$ is a whole number and can take only one value, which of the following inequalities represent $M$?

1. $48<M\le 50$
2. $48<M<50$

Q. Air traffic controller has set a limit for the aeroplane to fly at minimum 6000 m above the ground but less than 10000 m.
Represent this in form of inequality. If the height from the ground is represented by h.

1. $6,000\le \text{h}<10,000$
2. $6,000\le \text{h}\le 10,000$
3. $6,000<\text{h}<10,000$
4. $6,000\le \text{h}\ge 10,000$