Answer:
Option 2 50 ≤ s ≤ 100
Option 5 She could deposit $50
Option 6 She could deposit $75
Explanation:
Let
s -----> amount of money Layla deposit into a saving account
we know that
25%=25/100=0.25
50%=50/100=0.50
so
----->
![s\geq \$50](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1otod3d1mr6t37vtceyg9oo7tktbxae7ns.png)
----->
![s\leq \$100](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tx6pidhdfddecovca0gd75rab5jcp4jwqn.png)
The compound inequality is
![\$50 \leq s\leq \$100](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tev55n6lm75cvomijspatyftc6gidbkpxz.png)
Verify each case
case 1) 25 ≤ s ≤ 50
The statement is false
see the procedure
case 2) 50 ≤ s ≤ 100
The statement is True
see the procedure
case 3) s ≤ 25 or s ≥ 50
The statement is false
Because is s ≤ 100 and s ≥ 50
case 4) s ≤ 50 or s ≥ 100
The statement is false
Because is s ≤ 100 and s ≥ 50
case 5) She could deposit $50
The statement is true
Because the value of s satisfy the compound inequality
![\$50 \leq s\leq \$100](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tev55n6lm75cvomijspatyftc6gidbkpxz.png)
case 6) She could deposit $75
The statement is true
Because the value of s satisfy the compound inequality
![\$50 \leq s\leq \$100](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tev55n6lm75cvomijspatyftc6gidbkpxz.png)