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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(2x – 3) ≤ 6
For the following inequations, graph the solution set on the real number line:
– 4 ≤ 3x – 1 < 8
Represent the solution of the following inequalities on the real number line:
7 – x ≤ 2 – 6x
Represent the solution of the following inequalities on the real number line:
x + 3 ≤ 2x + 9
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 : –8 < 5x + 2 ≤ 17, x ∈ I}, B = {x : –2 ≤ 7 + 3x < 17, x ∈ R}
Where R = {real numbers} and I = {integers}. Represent A and B on two different number lines. Write down the elements of A ∩ B.
Solve the following linear in-equation and graph the solution set on a real number line:
2x - 11≤ 7 - 3x, x ∈ N
Solve the following linear in-equation and graph the solution set on a real number line:
2x - 7 < 5x + 2 ≤ 3x + 14, x ∈ R
Solve the equation and represent the solution set on the number line.
`-3 + x ≤ (8x)/(3)+ 2 ≤ (14)/(3)+ 2x`, where x ∈ I
For the inequations A and B [as given above in part (d)], A ∪ B is:
