Question

24- Resolva as inequações.

a) 7(x-1)<5-2x

b) 10x-1≤4(x+1)

c) 6x-(4-2x)>0

d) 3(x-2)<5x-8

e)2(x-3)+3(x-1)≤36

f)3(x-1)-2(x+1)≥-9

[ GENTE PF ME AJUDA ]

Answer 1

Explicação passo-a-passo:

a) 7( x - 1) < 5 - 2x

7x - 7 < 5 - 2x

7x +2x < 5+7

9x< 12

x< 12/9 (simplifica por 3)

x< 4/3

b) 10x - 1 < 4 ( x+1)

10x-1< 4x + 4

10x - 4x < 4+1

6x< 5

x< 5/6

c) 6x - (4 - 2x)> 0

6x - 4 + 2x >0

6x + 2x > 4

8x> 4

x> 4/8 ( simplifica por 4)

x> 1/2

d) 3( x - 2)< 5x - 8

3x - 6 < 5x - 8

3x - 5x < -8 + 6

-2×< -2 (-1)

2x> 2

x> 2/2

x> 1

e) 2 ( x + 3) + 3( x -1) < 36

2x + 6 + 3x - 3 < 36

2x + 3x < 36 - 6 +3

5x< 33

x< 33/5

f) 3( x -1) - 2( x+1) > 9

3x -3 - 2x -2 > 9

3x-2x> 9 + 5

x > 14