3)
\\\\\\\\\\\\\\\\\\\\\\\\\\\
/////////////////////////////
-----------o------------o------->x
-0.4 3
x∈(-0.4; 3)
1) 5х+2>0
5x > -2
x > -2/5
x > -0.4
////////////////////
--------o------------>x
-0.4
x∈(-0.4; +∞)
2) 1/4 x >1 | * 4
x > 4
//////////////////////////
--------o---------->x
4
x∈(4; +∞)
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Answers & Comments
Verified answer
3)![\left \{ {{3x-9\ \textless \ 0} \atop {5x+2\ \textgreater \ 0}} \right. \ \textless \ =\ \textgreater \ \left \{ {{3x\ \textless \ 9} \atop {5x\ \textgreater \ -2}} \right. \ \textless \ =\ \textgreater \ \left \{ {{x\ \textless \ 3} \atop {x\ \textgreater \ -0.4}} \right. \left \{ {{3x-9\ \textless \ 0} \atop {5x+2\ \textgreater \ 0}} \right. \ \textless \ =\ \textgreater \ \left \{ {{3x\ \textless \ 9} \atop {5x\ \textgreater \ -2}} \right. \ \textless \ =\ \textgreater \ \left \{ {{x\ \textless \ 3} \atop {x\ \textgreater \ -0.4}} \right.](https://tex.z-dn.net/?f=%20%5Cleft%20%5C%7B%20%7B%7B3x-9%5C%20%5Ctextless%20%5C%200%7D%20%5Catop%20%7B5x%2B2%5C%20%5Ctextgreater%20%5C%200%7D%7D%20%5Cright.%20%5C%20%5Ctextless%20%5C%20%3D%5C%20%5Ctextgreater%20%5C%20%20%20%5Cleft%20%5C%7B%20%7B%7B3x%5C%20%5Ctextless%20%5C%209%7D%20%5Catop%20%7B5x%5C%20%5Ctextgreater%20%5C%20-2%7D%7D%20%5Cright.%20%5C%20%5Ctextless%20%5C%20%3D%5C%20%5Ctextgreater%20%5C%20%20%20%5Cleft%20%5C%7B%20%7B%7Bx%5C%20%5Ctextless%20%5C%203%7D%20%5Catop%20%7Bx%5C%20%5Ctextgreater%20%5C%20-0.4%7D%7D%20%5Cright.%20)
\\\\\\\\\\\\\\\\\\\\\\\\\\\
/////////////////////////////
-----------o------------o------->x
-0.4 3
x∈(-0.4; 3)
1) 5х+2>0
5x > -2
x > -2/5
x > -0.4
////////////////////
--------o------------>x
-0.4
x∈(-0.4; +∞)
2) 1/4 x >1 | * 4
x > 4
//////////////////////////
--------o---------->x
4
x∈(4; +∞)