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" + 2)/("x" - 6) = -7`
Solve the following equation:
`1/("x" - 1) - 1/"x" = 1/("x" + 3) - 1/("x" + 4)`
The length of a rectangle is twice its width. If its perimeter is 54 cm; find its length.
A man’s age is three times that of his son, and in twelve years he will be twice as old as his son would be. What are their present ages.
If the same number be added to the numbers 5, 11, 15 and 31, the resulting numbers are in proportion. Find the number.
Solve: `(3"x" - 2)/4 - ("2x" + 3)/3 = 2/3 - "x"`
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
x – y `square` 0
Solve the following inequation
x ≤ 7, where x is a natural number
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?
