Question

Please help :')

Martin is 6 years younger than his sister. The sum of their ages is no more than 22 years.



Enter an inequality that can be used to represent this situation in the first box, where x represents Martin's sister's age.

Enter the oldest age Martin's sister can be in the second box.

Answer 1

x - 6 + x < 22
2x < 28
x<28/2
x<14

The answer is x<14 (Martin's sister is less than 14 years old)

Answer 2

Let

x---------> represents Martin's sister's age

y--------> represents Martin's age

we know that

`y=x-6` --------> equation
`1`

`x+y\leq 22` --------> equation
`2`

Substitute equation
`1` in equation
`2`

`x+[x-6]\leq 22\\2x\leq 22+6\\ x\leq 14`

therefore

the answer is

Part a) An inequality that can be used to represent this situation is

`x+[x-6]\leq 22` or
`x\leq 14`

Part b) the oldest age Martin's sister can be is
`14` years old