Question

Розв'язати нерівність: 1. -7x<21; 2. 6x+1>10x+3; 3.2.7(x+3)<7.2(x-3).

Answer 1

Объяснение:

1) -7x<21

-7x/(-7)>21/(-7)

x>-3

2) 6x+1>10x+3

6x-10x>3-1

-4x>2 ; x<-1/2

3)  2.7(x+3)<7.2(x-3)

2.7x+8.1<7.2x-21.6

2.7x-7.2x<-21.6-8.1

-4.5x<-29.7

x>6.6

Answer 2

1. -7x < 21 To solve this inequality, we need to isolate x. First, we divide both sides of the inequality by -7, but since we are dividing by a negative number, the inequality sign flips. x > -3 The solution to the inequality is x > -3.

2. 6x + 1 > 10x + 3 To solve this inequality, we need to isolate x. First, we subtract 6x from both sides and subtract 3 from both sides. 1 > 4x + 3 Next, we subtract 3 from both sides. -2 > 4x Finally, we divide both sides by 4. -2/4 > x -1/2 > x The solution to the inequality is x < -1/2.

3. 2.7(x + 3) < 7.2(x - 3) First, we distribute on both sides of the inequality. 2.7x + 8.1 < 7.2x - 21.6 Next, we subtract 2.7x from both sides and add 21.6 to both sides. 8.1 + 21.6 < 7.2x - 2.7x 29.7 < 4.5x Finally, we divide both sides by 4.5. 29.7/4.5 < x 6.6 < x The solution to the inequality is x > 6.6.