Advertisements
Advertisements
Question
Solve the following inequalities
4n + 7 ≥ 3n + 10, n is an integer
Advertisements
Solution
4n + 7 ≥ 3n + 10
Subtracting 3n on both sides
4n + 7 – 3n ≥ 3n + 10 – 3n
n(4 – 3) + 7 ≥ 3n + 10 – 3n
n(4 – 3) + 7 ≥ n(3 – 3) + 10
n + 7 ≥ 10
Subtracting 7 on both sides
n + 7 – 7 ≥ 10 – 7
n ≥ 3
Since the solution is an integer and is greater than or equal to 3, the solution will be 3, 4, 5, 6, 7, …..
n = 3, 4, 5, 6, 7, ….
APPEARS IN
RELATED QUESTIONS
A man completed a trip of 136 km in 8 hours. Some part of the trip was covered at 15 km/hr and the remaining at 18 km/hr. Find the part of the trip covered at 18 km/hr.
Three consecutive whole numbers are such that if they be divided by 5, 3 and 4 respectively; the sum of the quotients is 40. Find the numbers.
Solve: `1/3"x" - 6 = 5/2`
Solve:
13(x − 4) - 3(x − 9) − 5(x + 4) = 0
Solve: `("x" + 2)/3 - ("x" + 1)/5 = ("x" - 3)/4 - 1`
The sum of two numbers is 4500. If 10% of one number is 12.5% of the other, find the numbers.
Given that x ≥ y. Fill in the blank with suitable inequality sign
– xy `square` – y2
Linear inequation has almost one solution
Solve the following inequation
x ≤ 7, where x is a natural number
Solve the following inequation
6x – 7 ≥ 35, where x is an integer
