# five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. what is the solution set of this problem?

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## Five times the sum of a number and 27 is greater t

Answer: x ≤ q - 21. Based on the given conditions, formulate: 5 x + 27 ≥ 6 x + 26 Apply Multiplicative Distribution La

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## Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution set of this problem? - ∈ fty ,-21 - ∈ fty ,-21] [-21,+ ∈ fty 21,+ ∈ fty

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### Gauthmathier4326

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Five times the sum of a number and is greater than or equal to six times the sum of that number and . What is the solution set of this problem?

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### Gauthmathier8800

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## Five times the sum of a number and 27 is greater than or equal to six times the sum of that number

Find an answer to your question Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution …

06/13/2021 Mathematics College

answered • expert verified

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is

the solution set of this problem?

0 (-0, -21) O (-0, -21] o [-21, +00) O (21, +00)

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### Expert-verified answer

Virtuoso 2.1K answers 1.6M people helped

The **solution set **of " Five times the **sum **of a number and 27 is **greater **than or equal to **six **times the sum of that number and 26" is (-∞, -21]

### What is a solution set to an inequality or an equation?

If the **equation **or **inequality **contains **variable **terms, then there might be some values of those **variables **for which that equation or **inequality **might be true. Such values are called solution to that equation or inequality. Set of such values is called **solution set **to the considered **equation **or inequality.

For this case, let the **number **in consideration be 'x', then according to the condition specified, we get:

The sum of a **number **and 27 = x+27

Five times the sum of a number and 27 =

The **sum **of that **number **and 26 = x + 26

Six times the **sum **of that number and 26 =

Also, we get:

**Five**times the sum of a

**number**and 27 is greater than or equal to six times the sum of that number and 26 as:

Expanding and taking x on one side:

Thus, the considered statement is true for all the **numbers **which is **smaller **or **equal **to -21. Symbolically, the solution set is: (-∞, -21]

The **square bracket **shows that the -21 is included in the **interval**. And the interval (-∞, -21] is set of all real numbers **smaller **or **equal **to -21.

Thus, the **solution set **of " Five times the **sum **of a number and 27 is **greater **than or equal to **six **times the sum of that number and 26" is (-∞, -21]

Learn more about **inequalities **here:

brainly.com/question/27425770

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### Answer

Ace 119 answers 5.5K people helped

**Answer:**

5 × (x + 27) ≥ 6 × (x + 26).

**Step-by-step explanation:**

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## ALGEBRA II Inequalities Flashcards

Start studying ALGEBRA II Inequalities. Learn vocabulary, terms, and more with flashcards, games, and other study tools.

## ALGEBRA II Inequalities

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Click card to see definition 👆

A

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1/13 Created by VictoriaRaab

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