Advertisements
Advertisements
प्रश्न
Solve the following inequalities
6(x + 6) ≥ 5(x – 3), x is a whole number
Advertisements
उत्तर
6(x + 6) ≥ 5(x – 3)
6x + 36 ≥ 5x – 15
Subtracting 5x on both sides
6x + 36 – 5x ≥ 5x – 15 – 5x
x(6 – 5) + 36 ≥ x(5 – 5) – 15
x + 36 ≥ – 15
Subtracting 36 on both sides
x + 36 – 36 ≥ –15 – 36
x ≥ – 51
The solution is a whole number and which is greater than or equal to – 51
∴ The solution is 0, 1, 2, 3, 4, …
x = 0, 1, 2, 3, 4, …
APPEARS IN
संबंधित प्रश्न
Solve the following equation:
`(3"x")/("x" + 6) - "x"/("x" + 5) = 2`
Solve the following equation:
`1/("x" - 1) - 1/"x" = 1/("x" + 3) - 1/("x" + 4)`
If Megha’s age is increased by three times her age, the result is 60 years. Find her age
Six more than one-fourth of a number is two-fifth of the number. Find the number.
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.
Solve:
13(x − 4) - 3(x − 9) − 5(x + 4) = 0
Solve: `("9x" + 7)/2 - ("x" - ("x" - 2)/7) = 36`
Solve: `("6x" + 1)/2 + 1 = ("7x" - 3)/3`
After 12 years, I shall be 3 times as old as 1 was 4 years ago. Find my present age.
Given that x ≥ y. Fill in the blank with suitable inequality sign
x – y `square` 0
