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Chapter 3: Problem 75

Translate the given phrase or sentence algebraically. \(y\) is no more than 2

Short Answer

Expert verified
y \( \leq \) 2

Step by step solution

01

Understand the Phrase

The phrase says that the variable \(y\) is no more than 2. This means that \(y\) can be 2 or any value less than 2.
02

Translate to an Inequality

In algebraic terms, 'no more than' translates to 'less than or equal to'. Hence, we can write the expression as \(y \leq 2\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Translation of Phrases
Translating phrases into algebraic expressions is a key skill in algebra. It involves converting words into mathematical symbols and operations.
For example, the phrase 'y is no more than 2' translates to the inequality y 鈮� 2.
Here are some common phrases and their algebraic translations:
  • 'More than': Indicates addition (e.g., '5 more than x' translates to x + 5).
  • 'Less than': Indicates subtraction (e.g., '3 less than z' translates to z - 3).
  • 'Times': Indicates multiplication (e.g., '4 times w' translates to 4w).
  • 'Divided by': Indicates division (e.g., 'y divided by 2' translates to y / 2).
Recognizing these translations helps to understand and solve algebraic problems efficiently. Mastering this skill is critical for academic success in math.

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Most popular questions from this chapter

Evaluate the given expression. $$|5-9|-|-3-8|$$

Perform the indicated operations and simplify as completely as possible. $$\left(-4 x^{3} y\right)\left(-2 x^{3} y^{4}\right)$$

Solve the inequality and sketch the solution set on a number line. $$x+5<2 x-3$$

Consider the equation \(5 x+7=8 .\) A student adds 6 to both sides of the equation. Is this mathematically correct? Does this produce an equivalent equation? Does this get us any closer to a solution?

Solve the given inequality. Round off your answers to the nearest hundredth where necessary. $$0.8-0.45(x-2) \leq 0.26$$
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