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SANEKPLAY777
@SANEKPLAY777
July 2022
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Решить неравенство 1)|x|≤4 2)|x+1|≤10 3)|x-1|≥15 4)|x+2|≤11 5)|1-x|>0,9 6|3-x|≥0,7
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TARTILLO
Verified answer
Решить неравенствa
1)|x|≤4
⇔ -4≤x≤4
2)|x+1|≤10
⇔ -10≤(x+1)≤10 ⇔ -11≤x≤9
3)|x-1|≥15
4)|x+2|≤11
⇔ -11≤(x+2)≤11 ⇔ -13≤x≤9
3)|x-1|≥15 ⇔ (x-1)≥15 x≥16
{ ⇔ { ///////////////[-14]---------[16]/////////
(x-1)≤-15 x≤-14 x∈(-∞;-14]∪[16;+∞)
5)|1-x|>0,9
(x-1)≥0,9 x≥1,9
{ ⇔ { ///////////////[0,1]---------[1,9]/////////
(x-1)≤-0,9 x≤0,1 x∈(-∞;0,1]∪[1,9;+∞)
6)|3-x|≥0,7
(x-3)≥0,7 x≥3,7
{ ⇔ { ///////////////[2,3]---------[3,7]/////////
(x-3)≤-0,7 x≤2,3 x∈(-∞;2,3]∪[3,7+∞)
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Verified answer
Решить неравенствa1)|x|≤4 ⇔ -4≤x≤4
2)|x+1|≤10 ⇔ -10≤(x+1)≤10 ⇔ -11≤x≤9
3)|x-1|≥15
4)|x+2|≤11 ⇔ -11≤(x+2)≤11 ⇔ -13≤x≤9
3)|x-1|≥15 ⇔ (x-1)≥15 x≥16
{ ⇔ { ///////////////[-14]---------[16]/////////
(x-1)≤-15 x≤-14 x∈(-∞;-14]∪[16;+∞)
5)|1-x|>0,9 (x-1)≥0,9 x≥1,9
{ ⇔ { ///////////////[0,1]---------[1,9]/////////
(x-1)≤-0,9 x≤0,1 x∈(-∞;0,1]∪[1,9;+∞)
6)|3-x|≥0,7 (x-3)≥0,7 x≥3,7
{ ⇔ { ///////////////[2,3]---------[3,7]/////////
(x-3)≤-0,7 x≤2,3 x∈(-∞;2,3]∪[3,7+∞)