The solution to a system of inequalities is
a.
a single point that satisfies all inequalities in the system
b.
a collection of points that satisfy all inequalities in the system
c.
a single point that satisfies at least one inequality in the system
d.
a collection of points that satisfy at least one inequality in the system

Option B is right.

Step-by-step explanation:

Whenever a system of inequalities is given, normally we will get a collection of points that satisfy all the inequalities in the system

Option B is right

Option A is wrong because a single point cannot be a solution for all inequalities of a system normally an interval would be there

Option C is wrong since a single point if satisfies atleast one cannot be solution for the full system unless it satisfied all inequalities

Option D is wrong because satisfying atleast one inequality is not sufficient but satisfying all inequalities is a must.

c) yes, because of asa or aas

, 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