Answered

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Amanda's age is one more than five times her sons age. If the sum of their ages is more than 43 years, which inequality represents her sons age

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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