Advertisements
Advertisements
Question
Given A = {x : –1 < x ≤ 5, x ∈ R} and B = {x : – 4 ≤ x < 3, x ∈ R}
Represent on different number lines:
A – B
Solution
A – B = {x : 3 ≤ x ≤ 5, 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.
`-3(x - 7) >= 15 - 7x > (x+1)/3`, x ∉ R
Represent the following inequalities on real number line:
– 2 ≤ x < 5
Solve:
`(2x + 3)/3 >= (3x - 1)/4`, where x is a positive even integer
Solve the following inequation and represent the solution set on a number line.
`-8 1/2 < -1/2 - 4x ≤ 7 1/2, x ∈ I`
Graph the solution set for each inequality:
x < 4
Graph the solution set for each inequality:
-3< x ≤ 8
Find the values of x, which satisfy the inequation : `-2 ≤ (1)/(2) - (2x)/(3) ≤ 1(5)/(6)`, x ∈ N. Graph the solution set on the number line.
Given that x ∈ R, solve the following inequation and graph the solution on the number line: – 1 ≤ 3 + 4x < 23.
Find the range of values of a, which satisfy 7 ≤ – 4x + 2 < 12, x ∈ R. Graph these values of a on the real number line.
For the inequations A and B [as given above in part (d)], A ∪ B is:
