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Question 588938: I am sorry if this is in the wrong section. Below is a pratice question from Accuplacer. It has mapped how the answer is solved but I can't figure where some of the numbers came from. I am just trying to figure out how they mapped this out.Lines with a * are my questions about that part of the equation.
Algebra questions on the Accuplacer Test will also include inequalities problems. Inequalities contain the less than or greater than signs.
31 - 2/3X > 27, then X < ?
Solution 2:
In order to solve inequalities, deal with the whole numbers on each side of the equation first:
31 - 2/3X > 27 =
(31 - 31) - 2/3X > (27 - 31) = *Where did the other 2 31's come from?*
- 2/3X > - 4 *Don't understand where the 4 came from either*
Then deal with the fraction:
- 2/3X > - 4 =
3 x - 2/3X > - 4 x 3 =
-2X > -12
Then deal with the remaining whole numbers:
-2X > -12 =
-2X ÷ 2 > -12 ÷ 2 =
-X > -6
Then, deal with the negative number:
-X > -6 =
-X + 6 > -6 + 6 =
-X + 6 > 0
Finally, isolate the unknown variable as a positive number:
-X + 6 > 0 =
- X + X + 6 > 0 + X =
6 > X =
X < 6
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Algebra questions on the Accuplacer Test will also include inequalities problems. Inequalities contain the less than or greater than signs.
31 - 2/3X > 27, then X < ?
Solution 2:
In order to solve inequalities, deal with the whole numbers on each side of the equation first:
31 - 2/3X > 27 =
(31 - 31) - 2/3X > (27 - 31) =
*Where did the other 2 31's come from?*
Solving the problem for "x" means isolating the "x"
on one side of the inequality. To start that process
you 1st need to subtract 31 from each side of the inequality.
That is where the 31 comes from on the left and on the right.
----------------------------------
- 2/3X > - 4
*Don't understand where the 4 came from either*
27-31 = -4
----------------------------------
Then deal with the fraction:
- 2/3X > - 4 =
3 x - 2/3X > - 4 x 3 =
-2X > -12
Then deal with the remaining whole numbers:
-2X > -12 =
-2X ÷ 2 > -12 ÷ 2 =
-X > -6
Then, deal with the negative number:
-X > -6 =
-X + 6 > -6 + 6 =
-X + 6 > 0
Finally, isolate the unknown variable as a positive number:
-X + 6 > 0 =
- X + X + 6 > 0 + X =
6 > X =
X < 6
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Cheers,
Stan H.
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