Question

Joseph used the problem-solving strategy Work Backward to solve the inequality 2n+5<13. Shawnee solved the inequality using the algebraic method. Compare the two methods

Answer 1

dunno what the work backward way is
seeems hard
maybe it's trial and error?

anyway

algebreaic

2n+5<13
minus 5 both sides
2n<8
divide by 2
n<4

Answer 2

1. Using Backwards Method, we get,

We have the inequality 2n+5<13.

So, we subtract both the sides by 5,

i.e. 2n+5-5<13-5

i.e. 2n < 8

Now, divide both sides by 2, we get,

`(2n)/(2) <(8)/(2)`

i.e. n < 4.

So, using the Backwards method, we get the solution is n<4.

2. Now, we use the Algebraic method,

We have, 2n+5<13

Take 5 to the right side of the inequality,

i.e. 2n<13-5

i.e. 2n < 8

Now, take the 2 on the right side of the inequality.

i.e.
`n<(8)/(2)`

i.e. n < 4.

So, again using the Algebraic Method, we get that the solution is n<4.