Match the inequality to the graph of its solution. a. c + 7 ≤ 3 b. c - 3 > 1 c. c - 7 < 3

Inequalities are used to represent unequal expressions.

Subtract 7 from both sides

The above means that:

Hence, graph (b) represents

Add 1 to both sides

The above means that:

Hence, graph (c) represents

Add 7 to both sides

The above means that:

Hence, graph (a) represents

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case a)

the solution is the interval-------> (-∞,-4]

the answer case a) in the attached figure

case b)

the solution is the interval-------> (4,∞)

the answer case b) in the attached figure

case c)

the solution is the interval-------> (-∞,10)

the answer case c) in the attached figure

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