Advertisements
Advertisements
प्रश्न
Solve the following inequalities
4n + 7 ≥ 3n + 10, n is an integer
उत्तर
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
संबंधित प्रश्न
Solve the following equation:
`(3"x" + 2)/("x" - 6) = -7`
Solve the following equation:
`1/("x" - 1) - 1/"x" = 1/("x" + 3) - 1/("x" + 4)`
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.
The present age of a man is twice that of his son. Eight years hence, their ages will be in the ratio 7 : 4. Find their present ages
After 12 years, I shall be 3 times as old as 1 was 4 years ago. Find my present age.
The numerator of a fraction is 5 less than its denominator. If 3 is added to the numerator, and denominator both, the fraction becomes`4/5`. Find the original fraction.
Given that x ≥ y. Fill in the blank with suitable inequality sign
– xy `square` – y2
Given that x ≥ y. Fill in the blank with suitable inequality sign
x – y `square` 0
Linear inequation has almost one solution
Solve the following inequation
x ≤ 7, where x is a natural number
