Miguel can use all or part of his [tex]$\$25[/tex] gift card to make a music purchase. Each song costs [tex]\$1.50[/tex], and there is a [tex]\$1.00[/tex] per account activation fee.

Which inequalities can represent this situation if [tex]m[/tex] is the number of songs he can buy? Select two options.

A. [tex]1 + 1.5m \leq 25[/tex]

B. [tex]1 + 1.5m \geq 25[/tex]

C. [tex]25 > 1 + 1.5m[/tex]

D. [tex]1 + 1.5m < 25[/tex]

E. [tex]25 \geq 1 + 1.5m[/tex]

To help Miguel decide how many songs he can purchase with his [tex]$25 gift card, we need to consider the cost per song and the one-time account activation fee.

1. Identify the Variables:
- The cost per song is $[/tex]1.50.
- The account activation fee is [tex]$1.00.
- Let $ m $ be the number of songs Miguel can buy.
- Miguel's total budget is $[/tex]25.

2. Create an Inequality to Represent the Situation:
- The total cost includes the activation fee plus the cost of [tex]$ m $[/tex] songs.
- Total Cost = Activation Fee + Cost of Songs
- Mathematically, this is expressed as: [tex]$ 1 + 1.5m $[/tex]

3. Ensure the Total Cost Does Not Exceed the Gift Card Amount:
- The total cost should be less than or equal to [tex]$25. This can be expressed as:
\[
1 + 1.5m \leq 25
\]

4. Express the Inequality in Different Forms:
- We can also express this inequality by changing the order but maintaining the same meaning. This gives us:
\[
25 \geq 1 + 1.5m
\]

So, the two inequalities that correctly represent the situation are:
- $ 1 + 1.5m \leq 25 $
- $ 25 \geq 1 + 1.5m $

These inequalities show the condition that Miguel's total expenditure for songs and the account activation fee should not exceed $[/tex]25.