Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solution set of this problem?
A (16,+infinity)
B (-16,+infinity)
C (-infinity, 16)
D (-infinity,-16)

Respuesta :

The solution set that represent the solution to the inequality is (16,+infinity)

Solving linear equation

The mathematical representation of the statement given is expressed as shown below;

4 1/2 x - 9 1/2 >62.5

Convert to improper fraction to have:

9/2 x - 19/2 > 62.5

Find the LCM

9x-19/2 > 62.5

9x-19 > 125

9x > 125 + 19

9x > 144

x > 16

Hence the solution set that represent the solution to the inequality is (16,+infinity)

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