Find all natural values of x for which the inequality 12/23 is true.

| August 2, 2021 | education

The assignment consists of two parts. Let’s do each part separately.
A) 12/23 <x / 23 <1. To find all natural values ​​of x for which this double inequality is true, we use the properties of the inequalities. Multiply all parts of the inequality by 23> 0 (as you know, when multiplied by a positive number, the inequalities remain unchanged). We have: 12 <x <23. Let us write out all natural numbers x for which this double inequality is true: 13, 14, 15, 16, 17, 18, 19, 20, 21, 22.
B) 1/3 <x / 18 <11/12. Similarly, we multiply all parts of the inequality by 18> 0. Then, we get 6 <x <16.5. Let us write out all natural numbers x for which this double inequality is true: 7, 8, 9, 10, 11, 12, 13, 14, 15, 16.
Answers: A) 13, 14, 15, 16, 17, 18, 19, 20, 21, 22; B) 7, 8, 9, 10, 11, 12, 13, 14, 15, 16.



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