A)
(x-3)(x+4)≤0
{x-3≤0
{x+4≥0
{x-3≥0
{x+4≤0
{x≤3
{x≥-4
{x≥3
{x≤-4
x є [-4,3]
∅
Б)
[tex] \frac{5x - 2}{4} - \frac{3 - x}{5} > \frac{1 - x}{10} \\ 5(5x - 2) - 4(3 - x) > 2(1 - x) \\ 25x - 10 - 12 + 4x > 2 - 2x \\ 29x - 22 > 2 - 2x \\ 29x + 2x > 2 + 22 \\ 31x > 24 \\ x > \frac{24}{31} [/tex]
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Answers & Comments
A)
(x-3)(x+4)≤0
{x-3≤0
{x+4≥0
{x-3≥0
{x+4≤0
{x≤3
{x≥-4
{x≥3
{x≤-4
x є [-4,3]
∅
Б)
[tex] \frac{5x - 2}{4} - \frac{3 - x}{5} > \frac{1 - x}{10} \\ 5(5x - 2) - 4(3 - x) > 2(1 - x) \\ 25x - 10 - 12 + 4x > 2 - 2x \\ 29x - 22 > 2 - 2x \\ 29x + 2x > 2 + 22 \\ 31x > 24 \\ x > \frac{24}{31} [/tex]