Advertisements
Advertisements
Question
Solve the inequation:
3z – 5 ≤ z + 3 < 5z – 9, z ∈ R.
Graph the solution set on the number line.
Solution
3z – 5 ≤ z + 3 < 5z – 9
3z – 5 ≤ z + 3 and z + 3 < 5z – 9
2z ≤ 8 and 12 < 4z
z ≤ 4 and 3 < z
Since, z ∈ R
∴ Solution set = {3 < z ≤ 4, x ∈ R}
It can be represented on a number line as:
APPEARS IN
RELATED QUESTIONS
Solve the following inequation, write the solution set and represent it on the number line `-x/3 <= x/2 - 1 1/3 < 1/6, x ∈ R`
Represent the following inequalities on real number line:
–5 < x ≤ –1
Given that x ∈ I. solve the inequation and graph the solution on the number line:
`3 >= (x - 4)/2 + x/3 >= 2`
Find the set of values of x, satisfying:
`7x + 3 >= 3x - 5` and `x/4 - 5 <= 5/4 -x`, where x ∈ N
Solve the following inequation and represent the solution set on the number line:
`4x - 19 < (3x)/5 - 2 <= (-2)/5 + x, x ∈ R`
Solve the following linear in-equation and graph the solution set on a real number line:
2(3x-5) > 5(13-2x), x ∈ W
Solve the following linear in-equation and graph the solution set on a real number line:
2x - 7 < 5x + 2 ≤ 3x + 14, x ∈ R
Graph the solution set for each inequality:
5 ≤ x < 10
Solve the following inequalities and represent the solution on a number line:
2x - 3 > 5x + 4
Solve 2(x – 3)< 1, x ∈ {1, 2, 3, …. 10}
