Advertisements
Advertisements
Question
Solve the following inequation and graph the solution set,
2x -3 ≤ x + 2 ≤ 3x + 5 x ∈ R.
Solution
Here, 2x - 3 ≤ x + 2 ≤ 3x + 5
⇒ 2x - 3 ≤ x + 2 and x + 2 ≤ 3x + 5
⇒ x ≤ 5 and x ≥ `(-3)/(2)`
∴ Solution set = `{ x : (-3)/(2) ≤ x ≤ 5 and x ∈ "R"}.`
APPEARS IN
RELATED QUESTIONS
`x < -y => -x > y`
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:
Solve and graph the solution set of:
5 > p – 1 > 2 or 7 ≤ 2p – 1 ≤ 17, p ∈ R
Solve for x : 6 - 10x < 36, x ∈ {-3, -2, -1, O, 1, 2}
Find the values of x, which satify the inequation
-2`5/6 < 1/2 - (2"x")/3 ≤ 2, "x" in "W"`
Graph the solution set on the number line.
Solve the given inequation and graph the solution on the number line
2y - 3
Solve the following inequalities in the given universal set:
5x - 3 < 6x - 2; x ∈ N
If x ∈ I, find the smallest value of x which satisfies the inequation `2x + (5)/(2) > (5x)/(3) + 2`
Given 20 – 5 x < 5 (x + 8), find the smallest value of x, when
(i) x ∈ I
(ii) x ∈ W
(iii) x ∈ N.
