{ (2t - 1)/2 - (4t - 6)/5 ≤ 0
{ 4t² + 30 > (2t + 5)² - 15t
↓
{ 5(2t - 1) - 2(4t - 6) ≤ 0
{ 4t² + 30 > 4t² + 20t + 25 - 15t
{ 10t - 5 - 8t + 12 ≤ 0
{ - 20t + 15t > - 30 + 25
{ 2t ≤ - 7
{ - 5t > - 5
{ t ≤ - 3,5
{ t < 1
Ответ : - 3,5 ≥ t < 1
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Answers & Comments
{ (2t - 1)/2 - (4t - 6)/5 ≤ 0
{ 4t² + 30 > (2t + 5)² - 15t
↓
{ 5(2t - 1) - 2(4t - 6) ≤ 0
{ 4t² + 30 > 4t² + 20t + 25 - 15t
↓
{ 10t - 5 - 8t + 12 ≤ 0
{ - 20t + 15t > - 30 + 25
↓
{ 2t ≤ - 7
{ - 5t > - 5
↓
{ t ≤ - 3,5
{ t < 1
Ответ : - 3,5 ≥ t < 1