Solving Inequalities based on Word Problems

Q. Jimmy has $\$29$. He went to restaurant and found out that the price of 1 pizza is $\$13$ and one burger is $\$3$. how many pizza he can afford to buy if he bought one burger?

1. 2
2. 3
3. 1
4. 4

Q. If Nancy, who is not yet $21$ years old, is two years older than Lily, then Lily's age will be

1. $\le 19$ years
2. $<19$ years
3. $>19$ years

Q. There is a group of 8 students. The number of boys is less than the numbers of girls. How many girls can there be in this group?

1. $0,1,2\text{or}3.$
2. $5,6,7\text{or}8.$
3. $4,5,6,7\text{or}8.$

Q. The sum of two successive integer is greater than 18. Find the smallest number which can satisfy.

1. 8
2. 9
3. 10
4. 11

Q. Imagine youself to be in a park with $\$20$. You have already spent $\$9$ on the entry fees. How much possible amount of money you can spent in the park?

1. $x\le \$11$.
2. $x\ge \$11$
3. $x<\$11$
4. $x>\$11$

Q. Jaffar has a square canvas with sides of 60cm length. He wants to turn it into a rectangle by reducing one pair of opposite sides, but he does not want to decrease the area by more than 10%. By how much can he reduce the length of one pair of opposite sides of the square?

1. Reduction ≤ 6 cm
2. Reduction < 9 cm
3. Reduction ≤ 7 cm
4. Reduction < 8 cm

Q. Twelve more than the product of a number and 2 is less than -5. Find the number.

1. $x<-\frac{17}{2}$
2. $x<-\frac{17}{2}$
3. $x>-\frac{17}{2}$
4. $x\le -\frac{17}{2}$

Q. Rebecca's hair is 3 inches long. Her hair grows 2 inches every month. She wants her hair to be at most 9 inches. Can she go for 4 months without a haircut?

1. No. She can not wait for $4\text{months}$ without a haircut.
2. Yes. She can can go for $4\text{months}$ without a haircut.

Q. Jason got an allowance of $\$20$. He wants to save more than $\$5$ at the end of $10$ days. He spends an equal amount of money everyday. Which of the following is true?

1. Jason should spend less than $\$1.50$ daily.
2. Jason should spend more than $\$1.50$ daily.
3. Jason should spend less than or equal to $\$1.50$ daily.

Q. A rectangular room has a length of $x$ m and breadth of ($x+2$) m. The length of rope used to measure the length and breadth of a room is less than 24 m. Calculate the maximum length of the room if $x$ is in positive integers.

1. 4 m
2. 6 m
3. 8 m
4. 2 m