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Elza [17]
2 years ago
13

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

Mathematics
1 answer:
anastassius [24]2 years ago
5 0

Answer:

  • \Large\boxed{\sf{x < -\dfrac{1}{10} }}

Step-by-step explanation:

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

7x+2<-3x+1

<u>First, you subtract by 2 from both sides.</u>

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

<u>Solve.</u>

<u />

<u>Subtract the numbers from left to right.</u>

7x<-3x-1

<u>Add by 3x from both sides.</u>

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

<u>Solve.</u>

7x+3x=10x

10x<-1

<u>Then, you divide by 10 from both sides.</u>

10x/10<-1/10

<u>Solve.</u>

<u />

<u>Divide these numbers goes from left to right.</u>

\Longrightarrow: \boxed{\sf{x < -\dfrac{1}{10} }}

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

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

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