Advertisements
Advertisements
Question
Solve the following inequalities
6(x + 6) ≥ 5(x – 3), x is a whole number
Advertisements
Solution
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
RELATED QUESTIONS
A’s salary is same as 4 times B’s salary. If together they earn Rs.3,750 a month, find the salary of each.
The difference of two numbers is 3 and the difference of their squares is 69. Find the numbers.
Solve:
13(x − 4) - 3(x − 9) − 5(x + 4) = 0
Solve:
`(x + 2)/6 - ((11 - x)/3 - 1/4) = (3x - 4)/12`
Solve: `("9x" + 7)/2 - ("x" - ("x" - 2)/7) = 36`
The sum of two numbers is 405 and their ratio is 8 : 7. Find the numbers.
The ages of A and B are in the ratio 7 : 5. Ten years hence, the ratio of their ages will be 9 : 7. Find their present ages.
When x is an integer, the solution set for x ≤ 0 are −1, −2, ...
An artist can spend any amount between ₹ 80 to ₹ 200 on brushes. If cost of each brush is ₹ 5 and there are 6 brushes in each packet, then how many packets of brush can the artist buy?
Solve the following inequalities
4n + 7 ≥ 3n + 10, n is an integer
