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Double a number and add 12 and the result will be greater than 20. The number is less than 6. What is the number?

Sagot :

The following expression is equivalent to "double a number and add 12":

[tex]2x+12[/tex]

since the result is greater than 20, we have the following:

[tex]\begin{gathered} 2x+12>20 \\ \Rightarrow2x>20─12=8 \\ \Rightarrow x>\frac{8}{2}=4 \\ x>4 \end{gathered}[/tex]

the number is also less than 6. Then we have that:

[tex]4therefore, the number is 5
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