# Compound Inequalities with Signs and Directions

See the attachment.

Choose the correct description of the graph of the compound inequality x - 1 ? 7 or 2x ? 22.

(I "believe it is d, since the greater/less than or equal sign calls for a closed circle. Also, considering the directions of the arrows i.e. x ? 8 and x ? 11).

a. A number line with an open circle on 8, shading to the left, and an open circle on 11, shading to the right.

b. A number line with an open circle on 8, an open circle on 11, and shading in between.

c. A number line with a closed circle on 8, a closed circle on 11, and shading in between.

d. A number line with a closed circle on 8, shading to the left, and a closed circle on 11, shading to the right.

Determine the type of boundary line and shading for the graph of the inequality y? 2x + 4

a. Dashed line with shading on the side that includes the origin.

b. Solid line with shading on the side that does not include the origin.

c. Dashed line with shading on the side that does not include the origin.

d. Solid line with shading on the side that includes the origin.

Which of the following is not an equivalent form of the compound inequality:

x - 1 < -11 or x + 12 > 11

a. x < -10 or x > -1

b. x < -10 or x > -1

c. A number line with an open circle on -10, shading to the left, and an open circle on -1, shading to the right.

d. A number line with an open circle on -10, an open circle on -1, and shading in between.

Select the inequality that corresponds to the given graph. (see graph attached).

a. 2x - 5y? -10

b. x - y > 3

c. 2x - y < -4

d. x + 2y ?-8.

#### Solution Preview

Please see attached for the solution to the given problems.

Choose the correct description of the graph of the compound inequality x - 1 ? 7 or 2x ? 22.

(I "believe it is d, since the greater/less than or equal sign calls for a closed circle. Also, considering the directions of the arrows i.e. x ? 8 and x ? 11).

a. A number line with an open circle on 8, shading to the left, and an open circle on 11, shading to the right.

b. A number line with an open circle on 8, an open circle on 11, and shading in between.

c. A number line with a closed circle on 8, a closed circle on 11, and shading in between.

d. ...

#### Solution Summary

The solution discusses compound inequalities with signs and directions.