Mathematics
The number line for the solution of inequation x > 5 and x < 10 (x ∈ R) is :

Linear Inequations
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Answer
For x > 5, x < 10 and x ∈ R.
Solution set = {x : x ∈ R and 5 < x < 10}.
Hence, Option 2 is the correct option.
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Related Questions
The following number line represents :

{x : x ∈ R and x = 10}
{(x < 10) ∪ (x > 10)}
{(10 > x) ∩ (x > 10)}
{x : x ∈ R and x < 10}
The solution set for the following number line is :

{x : x ∈ R, x < -2 and x > 3}
{x : x ∈ R and -2 < x < 3}
{x : x ∈ R, x < -2 or x < 3}
{x : x ∈ R, x ≤ -2 or x ≥ 3}
Represent the following inequalities on real number lines :
(i) 2x - 1 < 5
(ii) 3x + 1 ≥ -5
(iii) 2(2x - 3) ≤ 6
(iv) -4 < x < 4
(v) -2 ≤ x < 5
(vi) 8 ≥ x > -3
(vii) -5 < x ≤ -1
For each graph given alongside, write an inequation taking x as the variable :
