( 40баллов ) Решите неравенство
1. a) [tex]8x + 9 \leq -4x+3;[/tex]
b) [tex] x^{2} - 2x - 24 \geq 0;[/tex]
c) [tex]| 4 - x | \leq 6;[/tex]
d) [tex]-2x^{2} + 2x - 7 \ \textless \ 0;[/tex]
1. a) [tex]8x + 9 \leq -4x+3;[/tex]
b) [tex] x^{2} - 2x - 24 \geq 0;[/tex]
c) [tex]| 4 - x | \leq 6;[/tex]
d) [tex]-2x^{2} + 2x - 7 \ \textless \ 0;[/tex]
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Answers & Comments
8x+4x≤3-9
12x≤-6
x≤-0,5
x∈(-∞;-0,5]
b)x1+x2=2 U x1*x2=-24
x1=-4 U x2=6
x∈(-∞;-4] U [6;∞)
c)-6≤4-x≤6
-10≤-x≤2
-2≤x≤10
x∈[-2;10]
d)2x²-2x+7>0
D=4-56=-52<0,a>0⇒x∈(-∞;∞)