Clara is growing her hair out and wants it to be no longer than 15 cm but more than 11 cm. her hair is 7 cm right now and grows at a rate of 0.25 cm per week. the compound inequality 11 < 7 + 0.25t ≤ 15 models the scenario. how long will it take clara to grow out her hair to the desired length? it will take clara more than weeks and up to and including weeks to grow out her hair.

50.6

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