It’s due in 45 minutes, how am I supposed to know where to shade when doing these?

If you want to know the process on how to graph and shade, start by graphing the inequalities. Assume that the inequality signs are just =, so the equation is y=mx+b. Let's use 1) as an example. When the sign is < or >, it's a dotted line. If the sign is ≥ or ≤, it's a solid line. Once you're done graphing the inequalities, choose a random coordinate on the graph. Let's use (0,0). Now, plug in the x- and y-value into the equations. 0<-6(0)+3 and 0≤0-2. Simplify it to get 0<3 and 0≤-2. Because the inequality is true for y<-6x+3, you would shade the side of the graph that includes (0,0). Because the inequality isn't true for y≤-x-2, you would shade the side of the graph that doesn't include (0,0). The shaded parts of both inequalities should overlap somewhere and that's the area you need to officially shade.

Here's the worked example:

If you are still confused, feel free to ask! :)

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happy to

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