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प्रश्न
Represent the solution of the following inequalities on the real number line:
`(2x + 5)/3 > 3x - 3`
उत्तर
`(2x + 5)/3 > 3x - 3`
2x + 5 > 9x – 9
–7x > –14
x < 2
The solution on number line is:
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संबंधित प्रश्न
Represent the following inequalities on real number line:
– 2 ≤ x < 5
Find the range of values of x, which satisfy:
`- 1/3 <= x/2 + 1 2/3 < 5 1/6`
Graph in each of the following cases the values of x on the different real number lines:
- x ∈ W
- x ∈ Z
- x ∈ R
Give that x ∈ I. Solve the inequation and graph the solution on the number line:
`3≥(x - 4)/(2)+x/(3)≥2`
Given:
P = {x : 5 < 2x - 1 ≤ 11, x ∈ R}
Q = {x : -1 ≤ 3 + 4x < 23, x ∈ R}
Where R = (real number), I = (Integers) Reperesnr P and Q on number lines. Write down the elements of P ∩ Q.
Solve 2 ≤ 2x – 3 ≤ 5, x ∈ R and mark it on a number line.
Solve the following inequalities and represent the solution on a number line:
2x - 3 > 5x + 4
Solve the inequation 3x -11 < 3 where x ∈ {1, 2, 3,……, 10}. Also represent its solution on a number line
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.
If x ∈ R (real numbers) and – 1 < 3 – 2x ≤ 7, find solution set and represent it on a number line.
For the inequations A and B [as given above in part (d)], A ∪ B is: