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Chapter 1: Problem 57

Determine whether the statements for the following problems are true or false. $$\frac{20+4.3}{16}<5$$

Short Answer

Expert verified
Answer: True

Step by step solution

01

Simplify the numerator of the fraction

First, we need to simplify the numerator of the fraction on the left-hand side of the inequality. To do this, we add 20 and 4.3. $$20 + 4.3 = 24.3$$
02

Evaluate the fraction

Now that we have simplified the numerator, we can evaluate the fraction by dividing the numerator (24.3) by the denominator (16). $$\frac{24.3}{16} = 1.51875$$
03

Compare the fraction to 5

Now we need to compare the value of the fraction (1.51875) with the number 5, which is on the right-hand side of the inequality. $$1.51875 < 5$$
04

Determine if the given statement is true or false

The inequality \(1.51875 < 5\) is true. Therefore, the original statement of the inequality is true.

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