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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?

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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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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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## 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

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)

00:00

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]

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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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