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Solve for inequality 7(x-2)<-5

User Rob Wright
by
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2 Answers

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7(x-2)\ \textless \ -5\\ 7x-14\ \textless \ -5\\ 7x\ \textless \ 9\\ x\ \textless \ (9)/(7)
User Santthosh
by
8.3k points
4 votes
Hello!

To solve the inequality, you'll need to multiply 7 with x and -2. Once you've done that you'll be one step closer to solving.

7x-14<-5

Next, you'll need to add 14 to -5. Once you have that done, -5 should now be 9.

7x<9

Now you need to divide both sides by 7. Once you've done that you'll have an inequality of...

x< 9/7

I hope this helps!
User Drnk
by
8.1k points

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