For their cd collections, alan, tom, and barbara have a total of 52 cd’s. if barbara had 6 more, then she would have as many as both of the boys together. tom has three more cd’s than alan. how many cd’s does each of the three have? alan has 13 cds, tom has 23 cds, barbara has 16 cds alan has 23 cds, tom has 16 cds, barbara has 13 cds alan has 13 cds, tom has 16 cds, barbara has 23 cds alan has 16 cds, tom has 13 cds, barbara has 23 cds

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!