Question

Resolva as inequações A) 6-4x > 1-2x B) 12x-2(1+3x) < ou igual a -8 C) -3(1-2x)+5x < ou igual a 4-2(4-7x) D) 5(1-2x) > 4-3(x-2)

Answer 1

A) 6-4x > 1-2x

6-4x+2x> 1

-4x+2x> 1-6

-2x> -5               (x-1)

2x< 5

x< 5/2

B) 12x-2(1+3x) ≤ -8
 
12x-2-6x ≤ -8

6x-2 ≤ -8

6x ≤ -8+2

6x ≤ -6

x ≤ -6/6

x ≤ -1

C) -3(1-2x)+5x ≤ 4-2(4-7x)

-3+6x+5x ≤ 4-8+14x 

-3+11x ≤ -4+14x 

-3+11x-14x  ≤ -4

-3-3x  ≤ -4

-3x  ≤ -4+3

-3x  ≤ -1                (x-1)

3x  ≥ 1

x  ≥ 1/3

D) 5(1-2x) > 4-3(x-2)

5-10x > 4-3x+6

5-10x > 4-3x+6

5-10x+3x> 4+6

5-7x> 10

-7x> 10-5

-7x> 5                   (x-1)

7x< -5

Espero ter ajudado!