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astra-53 [7]
2 years ago
7

For what values of x does the value of the fraction (3-x)/8 belong to the interval (−2; 5]?

Mathematics
1 answer:
Tamiku [17]2 years ago
7 0

Answer:

-37\leq x\:

Step-by-step explanation:

To find the values of x for which, the value of \frac{3-x}{8} belongs to (-2,5],we solve the inequality;

-2\:

We multiply through by 8 to obtain;

-16\:

We subtract 3 to get

-19\:

Divide through by -1 to obtain;

19\:>x\ge-37

Or

-37\leq x\:

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