Answer: 25 < P < 36
15/4 < w < 26/4
35/4 < L < 46/4
Step-by-step explanation:
Perimeter is BETWEEN 25 and 36
25 < P < 36
Graph: O--------------O
25 36
Perimeter = 2L + 2w ; substitute L = w + 5
25 < 2(w + 5) + 2w < 36
25 < 2w + 10 + 2w < 36
25 < 4w + 10 < 36
15 < 4w < 26
[tex]\dfrac{15}{4}[/tex] < w < [tex]\dfrac{26}{4}[/tex]
[tex]3\dfrac{3}{4}[/tex] < w < [tex]6\dfrac{1}{2}[/tex]
Graph: O------------------------O
[tex]3\dfrac{3}{4}[/tex] [tex]6\dfrac{1}{2}[/tex]
Perimeter = 2L + 2w ; L = w + 5 --> w = L - 5
25 < 2L + 2(L - 5) < 36
25 < 2L + 2L - 10 < 36
25 < 4L - 10 < 36
35 < 4L < 46
[tex]\dfrac{35}{4}[/tex] < L < [tex]\dfrac{46}{4}[/tex]
[tex]8\dfrac{3}{4}[/tex] < L < [tex]11\dfrac{1}{2}[/tex]
Graph: O------------------------O
[tex]8\dfrac{3}{4}[/tex] [tex]11\dfrac{1}{2}[/tex]
Note: Make sure you use OPEN dots when graphing.
