SOLUTION: Can you please help me check my answer for this inequality? {{{ (3x + 8)/-5 < 4-2x }}} I tried answering this and I get {{{ 4 > x }}} My solution is: {{{ (3x + 8)/-5 < 4-2x }

Algebra ->  Inequalities -> SOLUTION: Can you please help me check my answer for this inequality? {{{ (3x + 8)/-5 < 4-2x }}} I tried answering this and I get {{{ 4 > x }}} My solution is: {{{ (3x + 8)/-5 < 4-2x }      Log On


   

Question 1017984: Can you please help me check my answer for this inequality?
+%283x+%2B+8%29%2F-5+%3C+4-2x+
I tried answering this and I get +4+%3E+x+
My solution is:
+%283x+%2B+8%29%2F-5+%3C+4-2x+
+3x%2B8+%3E+-20%2B10x+
+20%2B8+%3E+10x-3x+
+28+%3E+7x+
+4+%3E+x+
Is this correct? I changed the inequality to > from < since I multiplied 4-2x by -5.
Thank you very much! :)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
You can sometimes avoid directly multiplying the members by a negative value

%283x%2B8%29%2F%28-5%29%3C4-2x
4-2x%3E%283x%2B8%29%2F%28-5%29
4-2x-%283x%2B8%29%2F%28-5%29%3E0
4-2x%2B%283x%2B8%29%2F5%3E0
5%284-2x%2B%283x%2B8%29%2F5%29%3E0
20-10x%2B3x%2B8%3E0
-7x%2B20%2B8%3E0
28%3E7x
highlight%284%3Ex%29

x is less than four.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Can you please help me check my answer for this inequality?
+%283x+%2B+8%29%2F-5+%3C+4-2x+
I tried answering this and I get +4+%3E+x+
My solution is:
+%283x+%2B+8%29%2F-5+%3C+4-2x+
+3x%2B8+%3E+-20%2B10x+
+20%2B8+%3E+10x-3x+
+28+%3E+7x+
+4+%3E+x+
Is this correct? I changed the inequality to > from < since I multiplied 4-2x by -5.
Thank you very much! :)
You're correct! Good job!!