Question

Решите неравенства: а) 2x>11 b)6x<8 c)1/2y>-3d) -2y<15 e)5x >0 f) -4 1/2x<-3 --

Answer 1

А) 2х > 11
х > 11/2
х > 5,5.

б) -2у < 15
-у < 15/2
у > -7,5.

в) 1/2у > -3
у > - 6.

г) - 4 1/2х < -3
-х < - 2/3
х > 2/3.
Удачи))))

Answer 2

a) 2x > 11 To solve this inequality for x, we need to isolate x on one side of the inequality sign. We can do that by dividing both sides of the inequality by 2: 2x/2 > 11/2 x > 11/2 So the solution to the inequality is x > 5.5.

b) 6x < 8 To solve this inequality for x, we need to isolate x on one side of the inequality sign. We can do that by dividing both sides of the inequality by 6, remembering to flip the inequality sign since we are dividing by a negative number: 6x/6 > 8/6 x < 4/3 So the solution to the inequality is x < 1.3333... or x < 4/3.

c) 1/2y > -3 To solve this inequality for y, we need to isolate y on one side of the inequality sign. We can do that by multiplying both sides of the inequality by 2: 2(1/2y) > 2(-3) y > -6 So the solution to the inequality is y > -6.

d) -2y < 15 To solve this inequality for y, we need to isolate y on one side of the inequality sign. We can do that by dividing both sides of the inequality by -2, remembering to flip the inequality sign since we are dividing by a negative number: (-2y)/(-2) > 15/(-2) y < -15/2 So the solution to the inequality is y < -7.5.

e) 5x > 0 To solve this inequality for x, we simply divide both sides of the inequality by 5: 5x/5 > 0/5 x > 0 So the solution to the inequality is x > 0.

f) -4 1/2x < -3 To solve this inequality for x, we need to isolate x on one side of the inequality sign. We can do that by adding 4 1/2 to both sides of the inequality, remembering to flip the inequality sign since we are adding a negative number: -4 1/2x + 4 1/2 > -3 + 4 1/2 -4x > 1/2 x < -1/8 So the solution to the inequality is x < -0.125.