Choose the 3 options that correctly give the distance between p and q on a number line. p = 5 12 and distance = 15 4 q = − 10 3 p = 9 5 and distance = 7 15 q = − 4 3 p = 5 7 and distance = 50 21 q = 5 3 p = 10 3 and distance = 23 15 q = 9 5 p = − 15 2 and distance = 13 6 q = − 16 3

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step-by-step explanation:

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

c > -10.55

step-by-step explanation: