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Chapter 1: Problem 52

For the following problems, introduce a variable (any letter will do) and use appropriate algebraic symbols to write the given statement. A number divided by six is greater than or equal to forty-four.

Short Answer

Expert verified
#tag_title# Step 3: Solve the inequality for x #tag_content# To find the value of x that satisfies the inequality, we can multiply both sides of the inequality by 6: \[x \geq 44 \times 6\] Now, calculate the value on the right side of the inequality: \[x \geq 264\] #tag_title# Step 4: Write the final answer #tag_content# The unknown number (x) must be greater than or equal to 264 for the given statement to be true. Inequality: \[x \geq 264\]

Step by step solution

01

Define a variable for the unknown number

Let the unknown number be represented by the variable x.
02

Write the given statement as an inequality using algebraic symbols

According to the given statement, x divided by six is greater than or equal to forty-four. We can write this inequality as: \[\frac{x}{6} \geq 44\]

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Most popular questions from this chapter

For the following problems, perform each indicated operation. \(\frac{8}{15}-\frac{3}{10}\)

For the following problems, determine the missing numerator or denomin ator. \(\frac{3}{2}=\frac{18}{?}\)

For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{26}{60}\)

For the following problems, perform each indicated operation. \(\frac{9}{28}-\frac{4}{45}\)

For the following problems, perform each indicated operation. \(\frac{8}{15}-\frac{3}{10}\)
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