{|x|<7<br>{x²+4x-5>0
|x|<7<br>{x<7<br>{-x<7<br>
{x<7<br>{x>-7
\\\\\\\\\\\\\\\\\\\\
------- -7 -------- 7 -------------
\\\\\\\\\\\\\\\\\\\\\\\\\\\
x∈(-7; 7)
x²+4x-5>0
x²+4x-5=0
D=16+20=36
x₁=-4-6=-5
2
x₂=-4+6=1
2
+ - +
-------- -5 ---------- 1-------------
\\\\\\\\ \\\\\\\\\\\\\\\\\
x∈(-∞; -5)U(1; +∞)
{x∈(-7; 7)
{x∈(-∞; -5)U(1; +∞)
\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
-------- -7 ------- -5 ----------- 1 -------- 7 -----------
\\\\\\\\\\\\\\\\\\\\ \\\\\\\\\\\\\\\\\\\\\
x∈(-7; -5)U(1; 7)
Ответ: (-7; -5) U (1; 7)