Examine the diagram. Transversal x intersects lines y and z to form 8 angles. The angles formed with line y, clockwise from top left are 1, 5, 6, 2. The angles formed with line z, clockwise from top left are 3, 7, 8, 4.

Angle 4 and angle

are alternate interior angles.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

step-by-step explanation:

explanation:

remove parenthesis:

=

apply rule

=

multiply fractions:

=

=

divide:

=

mordancy.

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step-by-step explanation:

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