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In Mathematics / High School | 2014-10-26

Twice the sum of a number and 4 is less than 12.

Write an inequality to represent this statement.

Asked by Madstermadie101

Answer (3)

Let the number be x. 2*(x +4) < 12
2x+8 < 12 2x < 12-8 2x < 4 Divide both sides by 2.
x < 4/2 x< 2. Therefore the number is less than 2.

Answered by olemakpadu | 2024-06-10

The **value **of x is less than 2.
What is inequality?
**Inequalities **are the mathematical expressions in which both sides are not equal . The solution to an equation or inequality is any number that, when plugged into the equation or inequality , will satisfy the **equation **or inequality .
**Inequalities **are expressed using greater than, greater than or equal to, less than, or less than or equal to.
For the given situation,
The **expression **is 2(x+4) < 12
⇒ 2 x + 8 < 12
⇒ 2 x < 12 − 8
⇒ 2 x < 4
⇒ x < 2
Hence we can conclude that the **value **of x is less than 2.

Learn more about** inequalities **here
https://brainly.com/question/11220833
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Answered by KarpaT | 2024-06-24

The inequality representing the statement 'Twice the sum of a number and 4 is less than 12' is 2 ( x + 4 ) < 12 . Simplifying it leads to x < 2 .
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Answered by KarpaT | 2024-11-01