Sketch the graph of the inequality. 3y − x ≥ 9

The graph of inequality is shown below.

Step-by-step explanation:

The given inequality is  

Related equation is

At x=0,

At y=0,

Plot (0,3) and (-9,0) on coordinate plane and connect them by a straight line.

Check the inequality for (0,0).

This statement is false. So, (0,0) is not included in the shaded region.

The graph of inequality is shown below.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

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