Advertisements
Advertisements
Question
List the solution set of `(11 - 2x)/(5) ≥ (9 - 3x)/(8) + (3)/(4)`, x ∈ N
Solution
`(11 - 2x)/(5) ≥ (9 - 3x)/(8) + (3)/(4)`
⇒ 88 - 16x ≥ 45 - 15x + 30
⇒ –16x + 15x ≥ 45 + 30 – 88
⇒ –x ≥ – 13
⇒ x ≤ 13
x ≤ N
Solution set = {1, 2, 3, 4, 5, ..., 13}.
APPEARS IN
RELATED QUESTIONS
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
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} solve x – 3 < 2x – 1.
List the solution set of the inequation `(1)/(2) + 8x > 5x -(3)/(2)`, x ∈ Z
`x/(2) + 5 ≤ x/(3) + 6` where x is a positive odd integer.
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
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.
