Solve the compounds inequality $4<x-13<13$

Chad Baldwin
2022-09-24
Answered

Solve the compounds inequality $4<x-13<13$

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soporoseun

Answered 2022-09-25
Author has **8** answers

$4<x-13<13$

we say that

$4<x-13\text{and}x-1311$

it take $4<x-13$

Add 13 both side

$4+13<x-13+13\phantom{\rule{0ex}{0ex}}17<x\phantom{\rule{0ex}{0ex}}\text{or}x17$

Now take $x-13<11$

Add 13 both side

$x-13+13<11+13$

$x<24$

$x>17\text{and}x24$

So we say that

$17<x<24$

Interval $(17,24)$

we say that

$4<x-13\text{and}x-1311$

it take $4<x-13$

Add 13 both side

$4+13<x-13+13\phantom{\rule{0ex}{0ex}}17<x\phantom{\rule{0ex}{0ex}}\text{or}x17$

Now take $x-13<11$

Add 13 both side

$x-13+13<11+13$

$x<24$

$x>17\text{and}x24$

So we say that

$17<x<24$

Interval $(17,24)$

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