Which inequality will have a solid boundary line and a shaded region above its graph?

x − y ≥ 3

2x − 3y ≤ 3

3y − x

Question

Which inequality will have a solid boundary line and a shaded region above its graph?




x − y ≥ 3




2x − 3y ≤ 3 




3y − x < 2




2x + y < 7

pooja195 · Answer

$$\huge~\rm~< = dotted ~~~line$$
$$\huge~\rm~\le=Solid~~line$$

pooja195 · Answer

Which options can we elminate ?

anonymous · Answer

the bottom two

mathstudent55 · Answer

$y \lt mx + b$ means shade below dashed line

$y \gt mx + b$ means shade above dashed line

$y \le mx + b$ means shade below solid line

$y \ge mx + b$ means shade above solid line

Solve each inequality for y, and compare with 4 statements above.
Remember that in solving an inequality, if you multiply or divide both sides by a negative number, the inequality sign changes direction.