1/2>-1/6-2/9x
Move -1/6 to the other side. Sign changes from -1/6 to 1/6.
1/2+1/6 >-1/6+1/6-2/9x
1/2+1/6 >-2/9x
Find the common denominator for 1/2 which is 6.
Multiply by 3 for 1/2.
1(3)/2(3)=3/6
3/6+1/6 >-2/9x
4/6>-2/9x
Reduce 4/6 by diving by 2.
4/2=2
6/2=3
2/3>-2/9x
Multiply both sides by -9/2.
2/3(-9/2)>-2/9x*-9/2
Cross out 2 and 2, divide by 2 and then becomes. 1*1=1
Cross out 3 and -9, divide by 3 and then becomes. 3/3=1, -9/3=-3
1*-3=-3
-2/9x*-9/2= 1*1*x=x ( because of crossing out the numbers)
Answer:
x >-3
