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Question

Дан 1 ответ

sakuyaize_zn · Answer 1 · 2020-06-02T03:46:14+0000

Пошаговое объяснение:

3. Решение

у≥0

0 }} \right." alt="\left \{ {{-x+8\geq0 } \atop {6x+2>0 }} \right." align="absmiddle" class="latex-formula">

-2}} \right." alt="\left \{ {{-x\geq -8 } \atop {6x>-2}} \right." align="absmiddle" class="latex-formula">

-\frac{1}{3} }} \right." alt="\left \{ {{x\leq =8} \atop {x>-\frac{1}{3} }} \right." align="absmiddle" class="latex-formula">

Ответ:(-∞;8), (- $\frac{1}{3}$ ; +∞).(правда, я не очень уверена насчёт этого решения)

4.Решение

а)3+x} \atop {3x-43+x} \atop {3x-4

3-2} \atop {3x-x<4}} \right." alt="\left \{ {{9x-x>3-2} \atop {3x-x<4}} \right." align="absmiddle" class="latex-formula">

1} \atop {2x<4}} \right." alt="\left \{ {{8x>1} \atop {2x<4}} \right." align="absmiddle" class="latex-formula">

$\left \{ {{x=\frac{1}{8} } \atop {x=2}} \right.$

б)2} \atop {0.7x-0.2<4}} \right." alt="\left \{ {{1.5x+0.5>2} \atop {0.7x-0.2<4}} \right." align="absmiddle" class="latex-formula">

2-0.5} \atop {0.7x<4+0.2}} \right." alt="\left \{ {{1.5x>2-0.5} \atop {0.7x<4+0.2}} \right." align="absmiddle" class="latex-formula">

1.5} \atop {0.7x>4,2}} \right." alt="\left \{ {{1.5x>1.5} \atop {0.7x>4,2}} \right." align="absmiddle" class="latex-formula">

1} \atop {x>6}} \right." alt="\left \{ {{x>1} \atop {x>6}} \right." align="absmiddle" class="latex-formula">

в) $\left \{ {{1.4x-7\geq 0 } \atop {0.9-0.1x\geq 0}} \right.$

$\left \{ {{1.4x\geq 7} \atop {-0.1x\geq -0.9}} \right.$

$\left \{ {{x\geq 5} \atop {x\leq 9}} \right.$

5.Решение

а)-(x-1.6)}} \right." alt="\left \{ {{0.8(x-3)-3.2<0.3(2-x)} \atop {0.2(1+2x)>-(x-1.6)}} \right." align="absmiddle" class="latex-formula">

-x+1.6}} \right." alt="\left \{ {{0.8x-2.4-3.2<0.6-0.3x} \atop {0.2+0.4x>-x+1.6}} \right." align="absmiddle" class="latex-formula">

1.6-0.2}} \right." alt="\left \{ {{0.8x+0.3x<0.6+5.6} \atop {0.4x+x>1.6-0.2}} \right." align="absmiddle" class="latex-formula">

1.4}} \right." alt="\left \{ {{1.1x<6.2} \atop {1.4x>1.4}} \right." align="absmiddle" class="latex-formula">

1}} \right." alt="\left \{ {{x<5.63636364} \atop {x>1}} \right." align="absmiddle" class="latex-formula">

б)x-1 } \atop {2-2x>0.5+0.5x}} \right." alt="\left \{ {{\frac{2x-1}{6}+\frac{x+2}{3}-\frac{x-8}{2}>x-1 } \atop {2-2x>0.5+0.5x}} \right." align="absmiddle" class="latex-formula"> (умножим выражение на 6)

6x-1} \atop {-2x-0.5x>0.5-2}} \right." alt="\left \{ {{2x-1+2x+4-3x-24>6x-1} \atop {-2x-0.5x>0.5-2}} \right." align="absmiddle" class="latex-formula">

-1+21} \atop {-2.5x>-1.5}} \right." alt="\left \{ {{x-6x>-1+21} \atop {-2.5x>-1.5}} \right." align="absmiddle" class="latex-formula">

20} \atop {x>0.6}} \right." alt="\left \{ {{-5x>20} \atop {x>0.6}} \right." align="absmiddle" class="latex-formula">

0.6}} \right." alt="\left \{ {{x<-4} \atop {x>0.6}} \right." align="absmiddle" class="latex-formula">