Question

Martin is considered the expressions 1/2(7x + 48) and -(1/2x - 3) + 4(x + 5). He wants to know if one expressions is greater than the other for all values of x.

Write a new expression that always has a greater value than both of these expressions.

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Answer 1

1/2(7x + 48) = 3.5x + 24

-(1/2x - 3) + 4(x + 5) = -0.5x + 3 + 4x + 20 = 3.5x + 23

Answer 2

1/2(7x + 48) = 3.5x + 24


-(1/2x - 3) + 4(x + 5) = -0.5x + 3 + 4x + 20 = 3.5x + 23

So yes, 1/2(7x + 48) will always have higher value.


new expression that always has a greater value than both of these expressions is: 3.5x + 25