Решите неравенство: 3(х-1.5)-4 0 2x-3>0 26-x13. Created by Gorkiy777. algebra-ru

1)-----------(-10)------------------ ////////////////////Ответ: ∞ 2)-----------------(2)---------------------- ///////////////////////----------(1.5)-------------------------- ////////////////////////////Ответ: ∞ 3)---------(1)-------------------------- ///////////////////////////-------------------(10)-------------- /////////////Ответ: ∞

Решите неравенство: 3(х-1.5)-4 0 2x-3>0 2...

Gorkiy777 @Gorkiy777

July 2022 1 2 Report

Решите неравенство:
3(х-1.5)-4 <4х+1.5

решите систему
6х-12>0
2x-3>0

26-x<25
2x-7>13

Answers & Comments

Luluput

Verified answer

1)
$3(x-1.5)-4 \ \textless \ 4x+1.5$
$3x-4.5-4 \ \textless \ 4x+1.5$
$3x-8.5 \ \textless \ 4x+1.5$
$3x-4x \ \textless \ 1.5+8.5$
$-x \ \textless \ 10$
$x\ \textgreater \ -10$
-----------(-10)------------------
////////////////////

Ответ: $(-10;+$ ∞ $)$

2)
$\left \{ {{6x-12\ \textgreater \ 0} \atop {2x-3\ \textgreater \ 0}} \right.$
$\left \{ {{6x\ \textgreater \ 12} \atop {2x\ \textgreater \ 3}} \right.$
$\left \{ {{x\ \textgreater \ 2} \atop {x\ \textgreater \ 1.5}} \right.$
-----------------(2)----------------------
///////////////////////
----------(1.5)--------------------------
////////////////////////////

Ответ: $(2; +$ ∞ $)$

3)
$\left \{ {{26-x\ \textless \ 25} \atop {2x-7\ \textgreater \ 13}} \right.$
$\left \{ {{-x\ \textless \ 25-26} \atop {2x\ \textgreater \ 13+7}} \right.$
$\left \{ {{-x\ \textless \ -1} \atop {2x\ \textgreater \ 20}} \right.$
$\left \{ {{x\ \textgreater \ 1} \atop {x\ \textgreater \ 10}} \right.$
---------(1)--------------------------
///////////////////////////
-------------------(10)--------------
/////////////

Ответ: $(10; +$ ∞ $)$

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Answers & Comments

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