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

Read below.

Step-by-step explanation:

Let's take the first one.

Subtract 17

Divide by 3

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Now the second one.

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.

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x has to be less than 10

x has to be greater than or -2.66 approximately.

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