3(x-4)>= 5x+2
Distributing 3 on x-4
3(x)-3(4)>=5x+2
3x-12>=5x+2
Now we need to move x terms together and the numbers together and for that we subtract 5x to both sides and add 12 to both sides
-2x >=14
Now we need to get rid of -2, and for that we divide both sides by -2 and on dividing by negative number, the sign of inequality change , that is
x<=-7
Absolute value is always positive because its talking about the real distance or steps to zero and even when you at a negative number it takes real steps to get back to zero.
You have to find a common denominator for both fractions. I chose the denominator to be 10, so the 1/2 will become 5/10, and 1/5 will become 2/10.
Subtract 5/10 from 2/10. You will get -3/10.
Answer: -3/10
You can check your answer by solving 1/2-3/10=1/5 to see if it is true. (It is:)
