47.3k views
3 votes
3x+17<47
-6x+9<25
Solve the inequalities and make a number line

User Tonithy
by
9.1k points

1 Answer

5 votes

Answer: Read below.

Explanation:


3x+17<47\\-6x+9<25

Let's take the first one.


3x+17<47

Subtract 17


3x<47-17\\3x<30

Divide by 3


x<(30)/(3)\\ x<10

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Now the second one.


-6x+9<25\\-6x<25-9\\-6x<16

Here's the trick. You need to divide by -6; however, there's a rule. When you multiply or divide by negative numbers, the inequality sign flips.


x>(16)/(-6)


x>-(8)/(3)

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x has to be less than 10

x has to be greater than
-(8)/(3) or -2.66 approximately.

in the number line, make a hollow circle on
-(8)/(3) and draw an arrow up to
10 where, again, you have to make a hollow circle. The circles have to be hollow because neither
-(8)/(3) nor 10 are part of the answers.

User Renzo Tissoni
by
8.2k points

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