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Kristino4kaMiy
@Kristino4kaMiy
August 2022
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Решите неравенство:
1)(x+5)(x-5)-(x+3)x ≤ x+1
2)(y+4)(4-y)+(y+5)y>6y-20;
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sedinalana
Verified answer
1)(x+5)(x-5)-(x+3)x ≤ x+1
x
²-25-x²-3x-x≤1
-4x
≤1+25
-4x
≤26
x
≥-6,5
x
∈[-6,5;∞)
2)(y+4)(4-y)+(y+5)y>6y-20
16-y
²+y²+5y-6y>-20
-y>-20-16
-y>-36
y<36
y∈(-∞;36)
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Answers & Comments
Verified answer
1)(x+5)(x-5)-(x+3)x ≤ x+1x²-25-x²-3x-x≤1
-4x≤1+25
-4x≤26
x≥-6,5
x∈[-6,5;∞)
2)(y+4)(4-y)+(y+5)y>6y-20
16-y²+y²+5y-6y>-20
-y>-20-16
-y>-36
y<36
y∈(-∞;36)