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प्रश्न
Solve the following inequation, write the solution set and represent it on the real number line.
`5x - 21 < (5x)/7 - 6 ≤ -3 3/7 + x, x ∈ R`
उत्तर
`5x - 21 < (5x)/7 - 6 ≤ -3 3/7 + x, x ∈ R`
`5x - 21 < (5x)/7 - 6`
`5x - (5x)/7 < -6 + 21`
`(35x - 5x)/7 < 15`
30x < 105
x < 3.5
`(5x)/7 - 6 ≤ -3 3/7 + x`
`(5x)/7 - x ≤ - 24/7 + 6`
`(5x - 7x)/7 ≤ (-24 + 42)/7`
–2x ≤ 18
x ≥ –9
`{x: -9 ≤ x < 7/2, x ∈ R}`
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संबंधित प्रश्न
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Where R = {real numbers} and I = {integers}. Represent A and B on two different number lines. Write down the elements of A ∩ B.
Given that x ∈ I. solve the inequation and graph the solution on the number line:
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Solve : `(4x - 10)/(3) ≤ (5x - 7)/(2)` x ∈ R and represent the solution set on the number line.
Solve `(3x)/(5) - (2x - 1)/(3)` > 1, x ∈ R and represent the solution set on the number line.
For the inequations A and B [as given above in part (d)], A ∪ B is:
