28. if x is an integer such that 200 < 3x3 < 400, find x.
29. if x is a positive integer such that 350 < 7x2 < 450, find x.
30. an integer x is such that x + 2 < 5717 < x + 3. state the value of x.
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28. x = 5

29. x = 8

30. No solution.

Step-by-step explanation:

28. Given that 200 < 3x³ < 400

⇒ 66.67 < x³ < 133.33

⇒ 4.07 < x < 5.1

As x is an integer, so, x = 5 (Answer)

29. Given that 350 < 7x² < 450

⇒ 50 < x² < 64.28

⇒ 7.07 < x < 8.01 {As x is a positive integer}

So, x = 8 (Answer)

30. Given that x + 2 < 5717 < x + 3

⇒ x < 5715 and x > 5714

As x is integer, so there is no solution for this problem. (Answer)

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step-by-step explanation:

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