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.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

i think it would be 42cm