Advertisements
Advertisements
Question
Solve: `(2x - 3)/(4) ≥ (1)/(2)`, x ∈ {0, 1, 2,…,8}
Solution
`(2x - 3)/(4) ≥ (1)/(2)`
⇒ 2x - 3 ≥ `(4)/(2)`
⇒ 2x - 3 ≥ 2
⇒ 2x ≥ 2 + 3
⇒ 2x ≥ 5
⇒ x ≥ `(5)/(2)`
∵ x ∈ {0, 1, 2, .........…, 8}
∴ Solution set = {3, 4, 5, 6, 7, 8}.
APPEARS IN
RELATED QUESTIONS
Find three consecutive largest positive integers such that the sum of one-third of first, one-fourth of second and one-fifth of third is at most 20.
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 : 7x - 2 > 4x + 1, x ∈ R} and Q = {x : 9x - 45 ≥ 5 (x -5),x ∈ R} , represent the following solution set on different number lines:
P ∩ Q'
List the solution set of 30 – 4 (2.x – 1) < 30, given that x is a positive integer.
Solve : 2 (x – 2) < 3x – 2, x ∈ { – 3, – 2, – 1, 0, 1, 2, 3} .
Given x ∈ {1, 2, 3, 4, 5, 6, 7, 9}, find the values of x for which -3 < 2x – 1 < x + 4.
If x ∈ I, A is the solution set of 2 (x – 1) < 3 x – 1 and B is the solution set of 4x – 3 ≤ 8 + x, find A ∩ B.
If x ∈ { – 3, – 1, 0, 1, 3, 5}, then the solution set of the inequation 3x – 2 ≤ 8 is
If x ∈ I, then the solution set of the inequation 1 < 3x + 5 ≤ 11 is
Given, `x + 2 ≤ x/3 + 3` and x is a prime number. The solution set for x is ______.
