-5x+1>11 please help me solve?

Hi,

For this question, we need to isolate for the variable x just like we would do in a regular equation. To do this, we first subtract 1 from both sides of the inequality to get:

-5x > 10

Now, at this point, we need to undo the operation being done to the variable x (multiplication), by dividing both sides of the equation by -5 to get:

FINAL ANSWER: x < -2

+ NOTE: Notice how I flipped the inequality sign when dividing by a negative (true also for multiplying by a negative). This is a must and you need to remember this trick!

I hope that helps you out! Please let me know if you have any other questions!

x < -2

Subtract 1 from both sides:

-5x > 11 - 1
-5x > 10

Divide both sides by -5. Because it is negative you must switch the direction of the inequality.

x < 10/-5
x < -2

Answer:
x < -2

-5x>10 x<10/-5 x<-2

-2>x

-5x > 11 - 1

-5x > 10

x > 10/-5

x > -2

1 > 11 + 5x
- 10 > 5x
x < - 2

-5x + 1 > 11
-5x > 11 - 1
-5x > 10
x < 10/-5
x < -2