Question

1- Resolva as seguintes equações 

a) 2x-1=-3x+4

b) 3(x-2)=4(-x+3)

C)
x x 7
--- + --- = ---
5 2 10

D)
2(x-1) 3x+6
------- = --------
3 5

2- Resolva as inequações abaixo.

A) 2x+5>4x+11

B)
x+1 x-2
----- - ------ > 1
6 3

ajudem por favor!!

Answer 1

a) 2x-1=-3x+4 ==> 2x+3x = 4+1 ==. 5x = 5 ==> x = 1
==================================================
b) 3(x-2)=4(-x+3) => 3x- 6 = -4x + 12 => 3x+4x = 12+6 => 7x=18 => x = 18/7
=========================================================
C) x + x = 7 ==. 2x+5x = 7 ==> 7x = 7 ==> x = 1
     5    2  10
=======================================================
D) 2(x-1) =  3x+6 ==> 10(x-1) = 3(3x+6) ==. 10x - 10 = 9x + 18
         3            5

10x-9x = 18-10 ==> x = 8
======================================================
2- Resolva as inequações abaixo.

A) 2x+5>4x+11 ==. 2x - 4x > 11 - 5 ==> -2x > 6(-1) 2x< -6 ==> x < - 3
========================================================
B) x+1 -  x-2 > 1 ==> 3(x+1) - 2(x-2) > 6 ==> 3x + 3 - 2x + 4 > 6
       6       3

x > 6 - 7 ==> x > - 1
========================================================

2x + 5 > 4x + 11 ==> 2x - 4x > 11- 5 ==> -2x> 6(-1) ==> 2x< -6 ==> x< - 3
==========================================================
x + 1 - x - 2 > 1 ==> x + 1 - 2(x - 2) > 6 ==> x + 1 - 2x - 4 > 6 
   6         3

 - x  > 6 +3 (-1) ==> x < - 9