Solve and graph -5 < 1/2(2m +6) ≤ 13

-8 < m ≤ 10

Step-by-step explanation:

Step 1: Simplify all parts of the inequality.

Step 2: Subtract 3 from all sections.

Therefore, the answer is -8 < m ≤ 10.

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area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2