Question 349087
I will solve it for you and then you can see where you went wrong.


problem is:


-7(5y – 2) > 6(6y-1) which can also be written as:


-7*(5*y – 2) > 6*(6*y-1).


The * indicates multiplication and can make things clearer if there is any ambiguity in how the formula is shown.


remove parentheses to get:


-35*y + 14 > 36*y - 6


add 6 to both sides of the equation to get:


-35*y + 20 > 36*y


add 35*y to both sides of the equation to get:


20 > 36*h + 35*y 


combine like terms to get:


20 > 71*y


divide both sides of the equation by 71 to get:


20/71 > y


if 20/71 > y, then:


y < 20/71


that should be your answer.


you confirm by substituting in the original equation to see if the equation is true.


take 3 values for y.


pick values that are easy to calculate wherever possible.


take y = 0 which is smaller than 20/71


take y = 20/71 which is equal to 20/71


take y = 1 which is greater than 20/71


if y is smaller than 20/71, the original equation should be true.


if y is greater than or equal to 20/71, the original equation should be false.


the original equation is:


-7(5y – 2) > 6(6y-1)


substitute 0 for y to get:


14 > -6 which is true.


substitute 1 for y to get:


-21 > 30 which is false.


substitute 20/71 for y to get:


4.14084507 > 4.14084507 which is false.


confirmation of y < 20/71 is good since:


when y < 20/71, the original equation is true.


when y >= 20/71, the original equation is false.