Задание 2. На каком рисунке изображено множество решений неравенства? В ответе укажите номер правильного варианта. 1) 3-4(3x-5)>-10; 2) x²+4x-45>=0.

Inequality 1: 3 - 4(3x - 5) > -10 => 3 - 12x + 20 > -10 => 23 - 12x > -10 => -12x > -33 => x < 33/12 => x < 11/4. This corresponds to option 2.

Inequality 2: x² + 4x - 45 >= 0. Roots are x = (-4 ± sqrt(16 - 4*1*(-45)))/2 = (-4 ± sqrt(16 + 180))/2 = (-4 ± sqrt(196))/2 = (-4 ± 14)/2. Roots are x1 = (-4 - 14)/2 = -9 and x2 = (-4 + 14)/2 = 5. Since the parabola opens upwards, the inequality holds for x <= -9 or x >= 5. This corresponds to option 1.