Advertisements
Advertisements
प्रश्न
If x is a negative integer, find the solution set of `(2)/(3) + (1)/(3)` (x + 1) > 0.
उत्तर
`(2)/(3) + (1)/(3) xx + (1)/(3)` > 0
⇒ `(1)/(3)` x + 1 > 0
⇒ `(1)/(3)` x > - 1
⇒ x > -1 x `(3)/(1)`
⇒ x > - 3
x is a negative integer
Solution set = {- 2, – 1}.
APPEARS IN
संबंधित प्रश्न
If P = { x : -3 < x ≤ 7, x ∈ R} and Q = { x : - 7 ≤ x < 3, x ∈ R} , represent the following solution set on the different number lines:
Q' ∩ P
If P = { x : -3 < x ≤ 7, x ∈ R} and Q = { x : - 7 ≤ x < 3, x ∈ R} , represent the following solution set on the different number lines:
P-Q
Solve : 2 (x – 2) < 3x – 2, x ∈ { – 3, – 2, – 1, 0, 1, 2, 3} .
If P is the solution set of – 3x + 4 < 2x – 3, x ∈ N and Q is the solution set of 4x – 5 < 12, x ∈ W, find
(i) P ∩ Q
(ii) Q – P.
Solve the inequation:
6x – 5 < 3x + 4, x ∈ I
Solve the inequation : `(5x + 1)/(7) - 4 (x/7 + 2/5) ≤ 1(3)/(5) + (3x - 1)/(7), x ∈ "R"`
If x∈R, solve `2x - 3 ≥ x + (1 - x)/(3) > (2)/(5)x`
Find positive integers which are such that if 6 is subtracted from five times the integer then the resulting number cannot be greater than four times the integer.
Given, `x + 2 ≤ x/3 + 3` and x is a prime number. The solution set for x is ______.
For 7 – 3x < x – 5, the solution is ______.