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Question

Дано ответов: 2

eddytroll_zn · Answer 1 · 2020-06-11T15:27:00+0000

Variant 1: Variant 2:

1)3-3x+4-4x<0 --- -2+6x+24+4x≥1</p>

7-7x<0 10x≥-21</p>

x>1 x≥-2.1

2)x-x/4≥2 --- 5x/4<1 </p>

3x/4≥2 x<0.8</p>

x≥8/3 4x+4>5

(x-1)/2+(x-2)/3>1 x>0.25

5x-7>6 Ответ: x∈(0.25:0.8)

x>2.6

Ответ: x>2.6

drakerton_zn · Answer 2 · 2020-06-11T15:27:00+0000

Задание №1

Вариант 1

1\\\\x\in (1; \infty)" alt="3(1-x) + 2(2-2x) < 0\\\\3 - 3x + 4 - 4x < 0\\\\-7x < -7\\\\x > 1\\\\x\in (1; \infty)" align="absmiddle" class="latex-formula">

Вариант 2

$-(2-3x) + 4(6+x) \geq 1\\\\3 - 2x + 24 +4x \geq1\\\\2x \geq -26\\\\x \geq -13\\\\x\in [-13; \infty)$

Задание №2

Вариант 1

1} \right." alt="\left \{ {{x- \frac x4 \geq2} \atop {\frac{x-1}{2}+\frac{x-2}{3} > 1} \right." align="absmiddle" class="latex-formula">

Решаем каждое уравнение по отдельности, а потом найдём общее решение.

$x - \frac x4 \geq 2\\\\4x - x \geq 8\\\\3x \geq 8\\\\x \geq 2\frac{2}{3}\\\\$

1\\\\ 3x - 3 + 2x - 4 > 6\\\\5x > 13 \\\\x > 2\frac{3}{5}" alt="\frac{x-1}{2} + \frac{x-2}{3} > 1\\\\ 3x - 3 + 2x - 4 > 6\\\\5x > 13 \\\\x > 2\frac{3}{5}" align="absmiddle" class="latex-formula">

2\frac35} \right. \\\\x\in [2\frac23; \infty)" alt="\left \{ {{x\geq2\frac{2}{3} } \atop {x>2\frac35} \right. \\\\x\in [2\frac23; \infty)" align="absmiddle" class="latex-formula">

Вариант 2

x} \atop {x - \frac{x-4}{5} > 1} \right." alt="\left \{ {{1 - \frac x4 > x} \atop {x - \frac{x-4}{5} > 1} \right." align="absmiddle" class="latex-formula">

Решаем каждое уравнение по отдельности, а потом найдём общее решение.

$1 - \frac x4 \geq x\\\\4 - x \geq 4x\\\\-x - 4x \geq - 4\\\\-5x \geq -4\\\\x \leq \frac{4}{5}$

1\\\\5x - x + 4 > 5\\\\4x> 1\\\\x > \frac14" alt="x - \frac{x-4}{5} > 1\\\\5x - x + 4 > 5\\\\4x> 1\\\\x > \frac14" align="absmiddle" class="latex-formula">

\frac14} \right. \\\\x\in (\frac14; \frac45)" alt="\left \{ {{x\leq\frac{4}{5}} \atop {x>\frac14} \right. \\\\x\in (\frac14; \frac45)" align="absmiddle" class="latex-formula">

Задание №3

Вариант 1

$- 1 \leq 5 - 3x \leq 1\\\\\left \{ {{5-3x \geq -1} \atop {5-3x\leq 1}} \right. \\\\ \left \{ {{-3x \geq -1 - 5} \atop {-3x\leq 1 - 5}} \right.\\\\\left \{ {{-3x\geq -6} \atop {-3x \leq -4}} \right. \\\\ \left \{ {{x\leq 2} \atop {x\geq 1\frac{1}{3}}} \right. \\\\ x \in [1\frac13; 2]$

Вариант 2

-4} \atop {1-x < 5}} \right. \\\\ \left \{ {{-x > -4 - 1} \atop {-x < 5 - 1}} \right.\\\\\left \{ {{-x > -5} \atop {-x < 4}} \right. \\\\ \left \{ {{x < 5} \atop {x > -4} \right. \\\\ x \in [-4; 5]" alt="-4 < 1 - x < 5\\\\\left \{ {{1-x > -4} \atop {1-x < 5}} \right. \\\\ \left \{ {{-x > -4 - 1} \atop {-x < 5 - 1}} \right.\\\\\left \{ {{-x > -5} \atop {-x < 4}} \right. \\\\ \left \{ {{x < 5} \atop {x > -4} \right. \\\\ x \in [-4; 5]" align="absmiddle" class="latex-formula">