SOLUTION: Solve -45 < -5x

SOLUTION: Solve -45 < -5x - 15 < 45

Question 657326: Solve
-45 < -5x - 15 < 45
Answer by Shana-D77(132) (Show Source): You can put this solution on YOUR website!
In equations, there are 2 "sides" on either side of the = sign. In your problem, there are 3 "sides", so we add, subtract, multiply, divide all 3 sides:

-45 < -5x - 15 < 45
-30 < -5x < 60 (added 15 to all 3 "sides")
Now, we have to divide by a negative, so we need to make all the < turn to >. If you want to know why this is, look below.
-30 < -5x < 60
6 > x > -12 (divided all 3 "sides" by -5)
-12 < x < 6 (flipped the whole thing around because it's nice to read from the smallest number)

So why do we flip the < sign? Here's an example:
5 < 10 (true)
Let's arbitrarily divide both sides by -1:
-5 < -10 (no longer true!)
So, when we divide by negatives, we must flip the inequality signs:
-5 > -10

RELATED QUESTIONS
Solve 5x + 15 < 45 (answered by MathLover1)

Solve -5x + 15 > 45 (answered by jim_thompson5910)

Solve 25 < 5x - 15 < 45 (answered by Shana-D77)

Solve: 45 =... (answered by jim_thompson5910)

5x + 6y = -15 15x + 18y = -45 (answered by ikleyn)

solve by the substitution method. 2x - 7y=15 5x +... (answered by jsmallt9)

solve 15% of 800 = y solve 15% of x =... (answered by rfer)

5x+5+2x=45 (answered by domo816)

-5x-45=39 + x (answered by Fombitz,fractalier)