Simplify each inequality if needed. Then determine whether the statement is true or false. 7 ≤ 7

Verified step by step guidance

Identify the inequality given: \(7 \leq 7\).

Recall that the symbol \(\leq\) means "less than or equal to," so the statement says "7 is less than or equal to 7."

Since both sides of the inequality are equal, the "equal to" part of the inequality holds true.

Therefore, the inequality \(7 \leq 7\) is true because 7 is indeed equal to 7.

No further simplification is needed as the inequality is already in its simplest form.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above.

Video duration:

Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Inequality Symbols and Their Meaning

Inequality symbols like ≤ (less than or equal to) compare two values to show their relative size. The symbol ≤ means the left side is either less than or exactly equal to the right side. Understanding these symbols is essential to interpret and solve inequalities correctly.

Evaluating Inequalities

To determine if an inequality is true or false, substitute the values and check the relationship. For example, 7 ≤ 7 means 7 is less than or equal to 7, which is true because both sides are equal. This evaluation step confirms the validity of the inequality.

Simplification of Inequalities

Simplifying inequalities involves reducing expressions to their simplest form without changing their truth value. In this case, the inequality 7 ≤ 7 is already simplified, so no further steps are needed before evaluating its truthfulness.

Recommended video:

5:10

Finding the Domain and Range of a Graph

Related Practice

Textbook Question

Add or subtract, as indicated. See Example 6. √6 + √6

1165

views

Textbook Question

Add or subtract, as indicated. See Example 6. 5√3 - √3

788

views