1.
a) 6x≥2-2x-3-3x
6x≥-5x-1
6x+5x≥ -1
11x≥ -1
x≥ - 1/11
------------ -1/11 ----------------
\\\\\\\\\\\\\\\\\\\\\\\\\
x∈[ -1/11; +∞)
б) 2(4x+6) ≤ 7(1-3x)
8x+12 ≤ 7-21x
8x+21x ≤ 7-12
29x ≤ -5
x ≤ -5/29
------------ -5/29 ------------
\\\\\\\\\\\\\\\\\
x∈(-∞; -5/29]
в) x²-7x+10>0
x²-7x+10=0
D=49-40=9
x₁=(7-3)/2=2
x₂=(7+3)/2=5
+ - +
---------- 2 ------------- 5 ------------
\\\\\\\\\\\\ \\\\\\\\\\\\\\\
x∈(-∞; 2)U(5; +∞)
3)
3x²+px+3=0
D=p² -4*3*3=p² - 36
p² - 36<0<br>(p-6)(p+6)<0<br>p=6 p= -6
+ - +
-------- -6 ------------- 6 -----------
\\\\\\\\\\\\\\\\
-6 < p < 6
p∈(-6; 6)