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C

Step-by-step explanation:

As you can see, the dot on the line is the starting point and it is open.

An open dot means less than or more than. An closed dot means less than or equal to / more than or equal to.

The line is going right starting from -5, so it is more than 5.

C.

Step-by-step explanation:

An open circle means more than or less than, but an closed circle means more than or equal to, vice versa. Because the blue arrow is pointing out of the negative numbers and to the positive numbers, we know that this one means x = more than negative 5. The answer choice that shows that is C. Therefore, the answer is C.

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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