Different Types of Compound Inequalities

Q. Eva wants to buy more than 4 pizza but less than 9 pizza. Determine the inequality in terms of $x$ which represents the number of pizza bought.

1. $4<x<9$
   
2. $4<x\le 9$
   
3. $4\le x\le 9$
   
4. $4\le x<9$
   

Q. The president of the United states had his tenure from the year 2017 to 2021. Show the previous statement as an inequality if $x$ represents the respective year.

1. $2017\le x\le 2021$
2. $2017<x\le 2021$
3. $2017\le x<2021$
4. $2017<x<2021$

Q. If $x$ is a negative integer and the range of $x$ is represented on the number line.Find out the possibles value(s) of $x$?

1. -4.0
2. -5.1
3. -3.0
4. -2.0

Q. Express $x>3$ and $x\le 7$ as a compound inequality.

1. $3<x<7$
   
2. $3<x\le 7$
   
3. $3\le x\le 7$
   
4. $3\le x<7$
   

Q.

A rental car company rents cars for a flat fee of $20$ an hourly charge of $10.25$. Therefore, the total cost $C$ to rent a car is a function of the hours $t$ the car is rented plus the flat fee.

a. Write the formula for the function that models this situation.
b. Find the total cost to rent a car for $2$ days and $7$ hours.
c. Determine how long the car was rented if the bill is $\$432.73$.

Q. Sonia got greater than or equal to –8 marks but less than or equal to 19 marks, while Tony got less than or equal to 26 marks but greater than or equal to 9 marks in a tough quiz.
Determine the compound inequality in terms of $x$, which represents the marks that they obtained.

Q.

Out of $32$ persons, $30$ invest in national savings certificates and $17$ invest in shares. What is the number of persons who invest in both?

1. $13$

2. $15$

3. $17$

4. $19$