8 - 24d less than or equal to 7d - 271?

-------------------------------------------------------

answers:
Krishnamurthy say: 8 - 24 d ≤ 7d - 271
7d + 24d ≥ 271 + 8
31d ≥ 279
d ≥ 9
-
Como say: 8 - 24 d ≤ 7d - 271
279 ≤ 31 d
9 ≤ d
-
-j. say: 8 - 24d <= 7d - 271
Like an equation, you can do whatever you want to either side of the inequality as long as you do the same to the other side. With ONE EXCEPTION, which we'll get to.
Add 24d to both sides.
8 <= 31d - 271
Add 271 to both sides.
279 <= 31d
Divide both sides by 31.
279/31 <= d
9 <=d

Remember that EXCEPTION I mentioned? If you multiply or divide both sides by a negative, you must FLIP THE SIGN.

Let's try this again:
8 - 24d <= 7d - 271
This time, let's subtract 7d from both sides.
8 - 31d <= -271
Now subtract 8 from both sides.
-31d <= - 279
Divide both sides by -31, remembering to FLIP THE SIGN:
d >= 9

That is the same as our original result. If you didn't flip the sign, you would be wrong!
-
bdzjt say: xhssvzes
-
utfcd say: yhekzxnc
-
unwir say: xaelpotr
-