How do you graph and solve $-5<1/4 (x-4) -2(4-x)$ ?

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Answer 1 · 2017-05-01T13:24:43

the first step when solving inequalities (1 of the methods, not exclusive) is to move everything over to 1 side

$5 + (x-4)/4 - 2(4-x) > 0$

Multiply by 4 to get rid of the denominator

$20 + (x-4) -32 + 8x > 0$
$9x - 16 > 0$
$9x > 16$
from here, you would be able to get a linear graph. The answer should be where x > $16/9$

How do you graph and solve -5<1/4 (x-4) -2(4-x) -5<1/4 (x-4) -2(4-x) ?