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Remark

You have to start with the equality equations first and then go to the inequalities.

Step One

Discuss y  = 2x + 2. That boundary is a dotted line. That is because it is not included in the area defined by y < 2x + 2. You should also note that everything in this region is below that line. See the diagram on the left (below).

Step Two

Discuss x + y >= -3. This graph actually means y >=-x - 3 The line itself is the lower boundary of the inequality. It looks like the center graph.

Step Three

When you put the two graphs together, you get the diagram on the right. The mauve kind of color is the region you are interested in. (Mauve is a kind of red purple).

Answer

Lower Right

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

answer: the answer is ann