Question

What is the solution to the inequality 7x + 2 < -3x + 1?

Answer 1

• 
  `\Large\boxed{\sf{x < -(1)/(10) }}`

Explanation:

In order to find the solutions, you must isolate the inequality on one side of the equation.

7x+2<-3x+1

First, you subtract by 2 from both sides.

7x+2-2<-3x+1-2

Solve.

Subtract the numbers from left to right.

7x<-3x-1

Add by 3x from both sides.

7x+3x<-3x-1+3x

Solve.

7x+3x=10x

10x<-1

Then, you divide by 10 from both sides.

10x/10<-1/10

Solve.

Divide these numbers goes from left to right.

`\Longrightarrow: \boxed{\sf{x < -(1)/(10) }}`

• Therefore, the final answer is x<-1/10.

I hope this helps, let me know if you have any questions.