Which linear inequality is represented by the graph?

y ≥ 1/3x - 4/3

y ≤ 1/3x-4/3

y ≤ 1/3x - 1.3

y ≥ 1/3x - 1.3

Step-by-step explanation:

The graph of the inequality is shown here and we have to select the right equation of the graphed inequality.

Now, the zone of solution includes the straight line which passes through the points (3,-0.3) and (0,-1.3)

This points satisfies the equation .......... (1)

Therefore, the equation of the inequality will be either or .

Now, choose any one point in the graphed solution zone. Say the point is (2,-2).

Now, from equation (1) we get the right hand side putting x = 2, we get  

. So, -2 is less than -0.633.

Therefore, the correct equation of the inequality is (Answer)

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step-by-step explanation:

, 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