what are the possible solutions for the inequality -2(y-7)>-2y+4

Question

i dont get it if its real numbers or its not a solutions

Answer 1

First, find possible values for y by solving:

-2(y-7) > -2y + 4

-2y + 14 > -2y + 4
+2y           +2y         -- adding 2y to both sides

14 > 4   -- A true statement.

Since we are left with 14 > 4, a statement that is always true regardless of the value of y we put in, the answer would be y = all real numbers.

If we were left with the result of 14 < 4, a statement that is ALWAYS FALSE, then there would be no solutions to the inequality.