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We want the sum of the two rolls to be less that five.Therefore, we will examine each given set of choices and choose the one where all the points have a sum less than 5.

First set: all the point are 5 added to another number. Therefore, the sum is definitely not less than 5. This choice is rejected.

Second set: We have two points having 6 added to a number. Therefore, this choice is also rejected.

Third set: We have the points (5,5) and (6,6) which have a sum greater than 5. Therefore, this set is also rejected.

Fourth set: We have:(1,1) with sum = 2(1,2) with sum = 3(1,3) with sum = 4(2,1) with sum = 3(2,2) with sum = 4(3,1) with sum = 4Therefore, all sums are less than 5. This is the correct choice.Based on the above, the correct option is the last one.

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)