Question

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

Answer 1

Answer: Read below.

Step-by-step explanation:

$3x+17$

Let's take the first one.

$3x+17$

Subtract 17

$3x$

Divide by 3

$x$

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Now the second one.

$-6x+9$

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.

$x>\frac{16}{-6}$

$x>-\frac{8}{3}$

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x has to be less than 10

x has to be greater than $-\frac{8}{3}$ or -2.66 approximately.

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