Advertisements
Advertisements
Question
Solve the inequation:
`12 + 1 5/6 x ≤ 5 + 3x` and `x in R`.
Solution
`12 + 1 5/6 x <= 5 + 3x`
`11/6 x - 3x <= 5 - 12`
`(11x - 18x)/6 <= -7`
`(-7x)/6 <= -7`
`x >= (7 xx 6)/7`
`x >= 6`
∴ Solution set = {x : x ∈ R and x ≥ 6}
APPEARS IN
RELATED QUESTIONS
If x ∈ N, find the solution set of inequations.
5x + 3 ≤ 2x + 18
If the replacement set is the set of whole numbers, solve:
18 ≤ 3x – 2
Given x ∈ {whole numbers}, find the solution set of:
–1 ≤ 3 + 4x < 23
For graph given alongside, write an inequation taking x as the variable:
Find the range of values of x which satisfies
`-2 2/3 <= x + 1/3 < 3 1/3, x in R`
Graph these values of x on the number line.
Find the values of x which satisfy the inequation:
`-2 <= 1/2 - (2x)/3 ≤ 1 5/6; x ∈ N`
Graph the solution on the number line.
Solve and graph the solution set of:
2x – 9 ≤ 7 and 3x + 9 > 25, x ∈ I
Solve the following inequation and represent the solution set on the number line:
`4x - 19 < (3x)/(5) -2 ≤ (-2)/(5)+ x , x ∈ "R"`
Find the solution set of the following inequalities and draw the graph of their solutions sets:
`|(x - 5)/(3)| < 6`
Given 20 – 5 x < 5 (x + 8), find the smallest value of x, when
(i) x ∈ I
(ii) x ∈ W
(iii) x ∈ N.