Question

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

Answer 1

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

$-37\leq x\:$