Today is our topic of discussion Inequality exercises 6.1 .
Inequality exercises 6.1
Solve the inequalities and show the solution set on a number line:
Express the problems 1-5 in terms of inequalities and find the possible values of x.
1 1. A boy walked 3 hours at the rate of x km/hour and ran hour at the rate of (x+2) km/hour, and the distance covered by him was less than 29 km.
2. A boarding house requires 4x kg of rice and (x-3) kg of pulses every day and it does not require more than 40 kg of rice and pulses in total.
3. Mr. Sohrab bought x kg mango at the rate of Tk. 70 per kg. He gave a note of Tk. 500 to the seller. The seller returned him rest of the money with x notes of Tk. 20.
4. A car runs æ km. in 4 hours and (x+120) km in 5 hours. The average speed of the car does not exceed 100 km/hour.
5. The area of a piece of paper is 40 sq cm. A rectangular piece which has a length of x cm. and width of 5 cm is cut off from it.
6. The age of the son is one-third of that of the mother. The father is 6 years older than the mother. The sum of the ages of these three persons is not more than 90 years. Express the age of the father in terms of an inequality.
7. Jeny appeared at the junior scholarship examination at the age of 14 years. She will appear at the S.S.C. examination at the age of 17 years. Express her present age in terms of inequality.
8. The maximum speed of a jet-plane is 300 meters/sec. Express the time required by the plane to cover 15 km in the form of inequality.
9. The air distance of Singapore from Dhaka is 2900 km. The maximum speed of a jet plane is 900 km/hour. But on way from Dhaka to Singapore, it faces air flowing at 100 km/hour from the opposite direction. Express the time required for the nonstop flight from Dhaka to Singapore in terms of an inequality.
10. On the basis of the question above, express the time required for the non- stop flight from Singapore to Dhaka in the form of an inequality.
11. 5 times a positive integer is less than the sum of twice the number and 15. Express the possible value of the number in the form of inequality.
See more:
- Applications equations of simultaneous quadratic
- Identify the range of the Celsius scale determined by the boiling point and melting point of water
