Answer :

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.

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

⇒ [tex]2x+8 < 12[/tex]

⇒ [tex]2x < 12-8[/tex]

⇒ [tex]2x < 4[/tex]

⇒ [tex]x < 2[/tex]

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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