Question

Розв'яжіть нерівність: 3x-1≤2-5(x-1).

Answer 1

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$\displaystyle \bf 3x-1\leq 2-5(x-1)\\\\3x-1\le \:2-5x-5\\\\3x+5x\leq 2-5+1\\\\3x+5x\leq -2\\\\8x\leq -2\\\\x\leq -\frac{2}{8} \\\\x\leq -\frac{1}{4}$

$\displaystyle \bf x \in \Big(-\infty \ ; -\frac{1}{4}\ \Big ]$

Answer 2

Ответ:

x ≤ 1

Объяснение:

3x - 1 ≤ 2 - 5(x - 1)

3x - 1 ≤ 2 - 5x + 5

3x - 1 ≤ 7 - 5x

3x + 5x ≤ 7 + 1

8x ≤ 8

x ≤ 1