Question

if x is a negative integer find the solution set of 2/3+1/3(x+1)>0

Answer 1

2/3+1/3X+1/3>0
1+1/3X>0
1/3X>-1
X>-3

Answer 2

Answer:

Step-by-step explanation:

2/3 + 1/3 ( x+ 1) > 0

2/3 + 1x/3 + 1/3 >0

( 2 + 1x + 1 ) / 3 > 0

( 3 + 1x )/ 3 > 0

3/3 + 1x/3 >0 (3/3 is 1)

1 + 1x/3 >0 (1 will become -1 when we will change its side)

1x/3 > -1

1x > -1 × 3

x > -3

Therefore, answer is {-2 , -1}. (because -2 and -1 are bigger than -3 )