Question

Решите неравенства: 1) 5х - 2 < 2;2) 10х + 2 < 0.

Answer 1

1) 5х - 2 < 2;
5x<2+2
5x<4
x<4/5
2) 10х + 2 < 0.
10x<-2
x<-2/10 < -1/5

Answer 2

1. 5x - 2 < 2

To solve for x, we will isolate x on one side of the inequality by adding 2 to both sides, then dividing both sides by 5:

5x - 2 + 2 < 2 + 2 5x < 4 x < 4/5

Therefore, the solution to the inequality is x < 4/5.

2. 10x + 2 < 0

To solve for x, we will isolate x on one side of the inequality by subtracting 2 from both sides, then dividing both sides by 10:

10x + 2 - 2 < 0 - 2 10x < -2 x < -2/10 x < -1/5

Therefore, the solution to the inequality is x < -1/5.