Advertisements
Advertisements
प्रश्न
List the solution set of 30 – 4 (2.x – 1) < 30, given that x is a positive integer.
उत्तर
30 − 4(2x − 1) < 30
30 − 8x + 4 < 30
34 − 8x < 30
−8x < −4
`x> (-4)/-8`
`x>1/2`
Since x is a positive integer, the smallest integer greater than `1/2` is 1.
Thus, the solution set for positive integers is:
{1, 2, 3, 4, 5, ...}
APPEARS IN
संबंधित प्रश्न
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.
Solve the given inequation and graph the solution on the number line.
2y – 3 < y + 1 ≤ 4y + 7, y ∈ R
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
If x is a negative integer, find the solution set of `(2)/(3) + (1)/(3)` (x + 1) > 0.
List the solution set of the inequation `(1)/(2) + 8x > 5x -(3)/(2)`, x ∈ Z
Given x ∈ {1, 2, 3, 4, 5, 6, 7, 9}, find the values of x for which -3 < 2x – 1 < x + 4.
Solve : 1 ≥ 15 – 7x > 2x – 27, x ∈ N
Solve the inequation and represent the solution set on the number line. `-3 + x ≤ (8x)/(3) + 2 ≤ (14)/(3) + 2x, "Where" x ∈ "I"`
If x ∈ I, then the solution set of the inequation 1 < 3x + 5 ≤ 11 is
If x∈R, solve `2x - 3 ≥ x + (1 - x)/(3) > (2)/(5)x`
