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Sagot :
Given:
Amanda's age is one more than five times her sons age.
Sum of their ages is more than 43 years.
To find:
The inequality that represents her sons age.
Solution:
Let x years be the Amanda's son's age.
Amanda's age is one more than five times her sons age.
Amanda's age = (5x+1) years
Sum of their ages is more than 43 years.
[tex]x+(5x+1)>43[/tex]
[tex]6x+1>43[/tex]
[tex]6x>43-1[/tex]
[tex]6x>42[/tex]
Divide both sides by 6.
[tex]x>\dfrac{42}{6}[/tex]
[tex]x>7[/tex]
Therefore, the inequality that represents her son's age is [tex]x>7[/tex].
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