SOLUTION: plese explain how to solve the inequality 14x +4 <26x +20

Algebra ->  Inequalities -> SOLUTION: plese explain how to solve the inequality 14x +4 <26x +20      Log On


   



Question 276626: plese explain how to solve the inequality
14x +4 <26x +20

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
14x%2B4%3C26x%2B20 Start with the given equation.


14x%3C26x%2B20-4 Subtract 4 from both sides.


14x-26x%3C20-4 Subtract 26x from both sides.


-12x%3C20-4 Combine like terms on the left side.


-12x%3C16 Combine like terms on the right side.


x%3E16%2F%28-12%29 Divide both sides by -12 to isolate x. Remember that the inequality sign flips when you divide by a negative number.


x%3E-4%2F3 Reduce.


----------------------------------------------------------------------
Answer:
So the solution is x%3E-4%2F3