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Chapter 1: Problem 58

Determine whether the statements for the following problems are true or false. $$2[6(1+4)-8]>3(11+6)$$

Short Answer

Expert verified
Answer: False

Step by step solution

01

Perform the operations inside the parentheses

Evaluate the expressions inside the parentheses: $$2[6(1+4)-8]>3(11+6)$$ $$2[6(5)-8]>3(17)$$
02

Apply the distributive property

Multiply the numbers outside the brackets with each term inside the brackets: $$2[30-8]>51$$ $$2[22]>51$$
03

Simplify both sides

Now, perform the remaining operation in the inequality: $$44>51$$
04

Determine if the inequality is true or false

Comparing both sides, we can see that the statement is false, as 44 is not greater than 51.

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For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{18}{27}\)

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