Question 386159: hi, i need help understanding solving inequalities, like i literaly have no clue what i am doing like 5(x-10)>6(x-1) i am homeschooled and these book are just not helping me get the point on how to do it. i have gotten down to
5x-10>6x-1, now i am stumped.
Answer by gwendolyn(128)   (Show Source):
You can put this solution on YOUR website! Your first step was close, but not quite right. You did the first half of the equation correctly, but you didn't distribute the 6 to the x AND the 1.
When you distributed, you should have gotten:
5x-10>6x-6
The next step is to add ten to both sides.
5x-10+10>6x-6+10
5x>6x+4
Now, we want to get our variable on one side of the equation.
-1x>4
The final step is to divide both sides by negative one to isolate the variable. However, since the number being divided is negative, you have to flip the inequality. (Whenever dividing or multiplying by a negative number, we flip the inequality.)
x<-4
Therefore, x is less than negative four.
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