Question

Kahlil is recording a beat for a song that he is working on he wants the length of the beat to be more than 17 seconds long. His friend tells him the beat needs to be 9 seconds longer than that to match the lyrics he has written.
write an inequality to represent the beat's length. Give three possible beat lengths that satisfy the inequality.

a. T < 17 c. T > 8
8, 6, 5 27, 35, 33

b. T > 26 d. T < 26
27, 35, 33 8, 6, 5

Answer 1

In the problem, the length of the beat is take by variable T.

According to problem,

Kahlil wants, "the length of the beat to be more than 17 seconds long".

We took length of beat by variable T.

Therefore, the length of the beat to be more than 17 seconds long could be rephrase as

" T is more than 17".

And in inequality form we can write it as

T>17.

Now, Kahlil's friend told that "beat needs to be 9 seconds longer than that".

So, 17 longer than 9 is 17+9=26.

But as we can see that the beat should be longer than 17 but less than 26 (because 26 is the maximum length in seconds suggested by friend).

So, the final beat should be less than 26.

And we would setup an inequality as

T <  26.

Therefore, Correct option is option D) T < 26 ;  8, 6, 5.