What type of research relies on the researcher's first-hand observations of participants in naturally occurring contexts?

Qualitative Research

Step-by-step explanation:

In this type of research there is focus to collect data which is non numerical. This type of research tries to ask questions that relate to why and how something occurs rather than how many times it occurs.

Case study is an example of qualitative research. Quantitative research depends on the mathematical formulations and relations to come to a conclusion while qualitative research does not.

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:

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