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Grace [21]
3 years ago
10

Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solutio

n set of this problem?
(16, positive infinity)
(Negative 16, positive infinity)
(Negative infinity, 16)
(Negative infinity, Negative 16)
Mathematics
2 answers:
Scrat [10]3 years ago
8 0
16, + infinity . Multiply sides by 1/9 n rages to infinity from 16.
madreJ [45]3 years ago
4 0

Answer:

{16, +infinity}

Step-by-step explanation:

Represent the number with n

Required

Find the solution set

From the question, we have that;

4½n - 9½ > 62.5

Convert all numbers to decimal

4.5n - 9.5 > 62.5

Add 9.5 to both sides

4.5n - 9.5 + 9.5 > 62.5 + 9.5

4.5n > 72

Multiply both sides by 2

2(4.5n) > 72 * 2

9n > 144

Multiply both sides by ⅑

⅑ * 9n > 144 * ⅑

n > 16

This implies that n ranges to infinity from positive 16;

Hence, the correct answer is {16, +infinity}

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