Applicants for jobs at a call centre take two tests, one for communication skills and the other on IT skills, and normalized scores are recorded on each between 0 and 2. For a given applicant, let X be the score on the communications test and Y the score on the IT test. A model for the joint probability density function for the two test scores can be taken as

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!

you didn't give an question you just gave us a statement