We want to write an inequality that reflects that you can spend between $150 and $450.
We will find the inequality:
450 ≥ 11*t + 18 ≥ 150
And solving this we have:
39.3 ≥ t ≥ 12
Now let's see how to solve this problem.
So, we start with the inequality:
150 ≥ 11*t + 18.
I assume that:
11*t + 18
Is the amount you will spend, and 150 is the initial maximum amount that you can spend.
Now your parents give you $300, so the maximum goes from $150 to $450, and we also have a minimum of $150 (because the problem says it).
Then we write the inequality as:
450 ≥ 11*t + 18 ≥ 150
We can solve this for t:
450 - 18 ≥ 11*t ≥ 150 - 18
432 ≥ 11*t ≥ 132
432/11 ≥ t ≥ 132/11
39.3 ≥ t ≥ 12
If you want to learn more, you can read:
https://brainly.com/question/20382422