Question

3. Which description matches the graph of the inequality?

a shaded region above a solid boundary line

a shaded region below a solid boundary line

a shaded region above a dashed boundary line

a shaded region below a dashed boundary line

Answer 1

Answer: D is correct dotted and shaded below

Explanation:

It’s a dotted line because the symbol is < or >

Everything below the line will be shaded because it’s y<, if it were y> then everything would be shaded above

Answer 2

A shaded region below a dashed boundary line

Explanation:

Conveniently it has been established, that in inequalities graph dashed lines indicate that all the points ∈ line expressed by y< -1/2x+5 part of the inequality are not included. So we represent by shaded regions below dashed lines.

If this inequality was then expressed by y<= -1/2x +5 then a solid line would then represent.

Check it out below