Answered

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Five less than five times a number is less than six times the same number plus
2.

Sagot :

Galaxyyyy

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve this problem in one single step, I'll start off with that.

We can first figure out what it says and make an algebraic equation. We can see what language the question uses and elaborate on that to create our equation.

[tex]5x-5<6x+2[/tex]

We can use algebra to simplify the equation so that we can solve for it.

[tex]-5<x+2\\-7<x\\x>-7[/tex]

We can check if this is correct by testing a few numbers from that range, I'll take -5 and 2.

[tex]5(2)-5<6(2)+2?\\10-5<12+2?\\5<14[/tex]

We've proven that 2 is working.

[tex]5(-5)-5<5(-5)+2?\\-25-5<-25+2?\\-30<-23[/tex]

We've also proven that -5 works.

We can now say that we've solved the problem, the solution of the problem would be x>-7.

Cheers!

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