Use the drop-down menus to complete each equation so the statement about its solution is true. 2x +5 + 2x + 3X = x +

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Ответ:

elizabethburkha

17.10.2021

Mathematics

$-\frac{29}{6}<x<\frac{25}{6}$

Step-by-step explanation:

2|x+1/3|<9

$2|x+\frac{1}{3} |<9$

Divide both sides by 2 in order to get absolute function alone

$|x+\frac{1}{3} |<\frac{9}{2}$

If |x|=a then -a<x<a

$|x+\frac{1}{3}<\frac{9}{2}$

$-\frac{9}{2}<x+\frac{1}{3}<\frac{9}{2}$

We need to get x alone

So we subtract 1/3 on both sides

$-\frac{9}{2}-\frac{1}{3}<x<\frac{9}{2}-\frac{1}{3}$

Make the denominator same and simplify the fraction

$-\frac{29}{6}<x<\frac{25}{6}$

Solve the inequality graph the solution 2|x+1/3|< 9

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