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प्रश्न
The diagram represents two inequations A and B on real number lines:
- Write down A and B in set builder notation.
- Represent A ∪ B and A ∩ B' on two different number lines.
उत्तर
(i) Given:
A = {x ∈ R: -2 ≤ x < 5}
B = {x ∈ R: -4 ≤ x < 3}
(ii) A ∩ B = {x ∈ R: -2 ≤ x < 3}
It can be represented on number line as:
A ∩ B’ = A - B = {x ∈ R: 3 ≤ x < 5}
It can be represented on number line as:
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संबंधित प्रश्न
Represent the following inequalities on real number line:
– 2 ≤ x < 5
Given A = {x : –1 < x ≤ 5, x ∈ R} and B = {x : – 4 ≤ x < 3, x ∈ R}
Represent on different number lines:
A ∩ B
Given:
A = {x : 11x – 5 > 7x + 3, x ∈ R} and
B = {x : 18x – 9 ≥ 15 + 12x, x ∈ R}.
Find the range of set A ∩ B and represent it on the number line.
Solve the following inequation and represent the solution set on the number line:
`-3 < -1/2 - (2x)/3 ≤ 5/6, 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 inequation, write the solution set and represent it on the number line.
`-3 (x - 7) ≥ 15 - 7x > (x + 1)/3, x ∈ R`
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:
-3< x <5
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`
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.
