Advertisements
Advertisements
Question
Solve x – 3 (2 + x) > 2 (3x – 1), x ∈ { – 3, – 2, – 1, 0, 1, 2, 3}. Also represent its solution on the number line.
Solution
x – 3 (2 + x) > 2 (3x – 1)
⇒ x – 6 – 3x > 6x – 2
⇒ x – 3x – 6x > – 2 + 6
⇒ – 8x > 4
⇒ x < `(-4)/(8)`
⇒ x < `-(1)/(2)`
x ∈ { – 3, – 2, – 1, 0, 1, 2}
.’. Solution set = { – 3, – 2, – 1}
Solution set on Number Line :
APPEARS IN
RELATED QUESTIONS
Find the values of x, which satisfy the inequation `-2 5/6 < 1/2 - (2x)/3 ≤ 2, x ∈ W`. Graph the solution set on the number line.
Solve the following inequation and represent the solution set on the number line:
4x - 19 < (3x)/5 - 2 <= (-2)/5 + x, x ∈ R
Represent the solution of the following inequalities on the real number line:
7 – x ≤ 2 – 6x
Represent the solution of the following inequalities on the real number line:
x + 3 ≤ 2x + 9
Solve:
`x/2 + 5 <= x/3 + 6`, where x is a positive odd integer
Solve the inequation:
`-2 1/2 + 2x <= (4x)/5 <= 4/3 + 2x, x ∈ W`.
Graph the solution set on the number line.
Find the values of x, which satisfy the inequation
`-2 5/6 < 1/2 - (2x)/3 <= 2`, x ∈ W
Graph the solution set on the number line.
Give that x ∈ I. Solve the inequation and graph the solution on the number line:
`3≥(x - 4)/(2)+x/(3)≥2`
Graph the solution set for each inequality:
-3< x <5
Solve the inequation 3x -11 < 3 where x ∈ {1, 2, 3,……, 10}. Also represent its solution on a number line
