Answer:
Option 2 50 ≤ s ≤ 100
Option 5 She could deposit $50
Option 6 She could deposit $75
Step-by-step 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://tex.z-dn.net/?f=s%5Cgeq%20%5C%2450)
-----> ![s\leq \$100](https://tex.z-dn.net/?f=s%5Cleq%20%5C%24100)
The compound inequality is
![\$50 \leq s\leq \$100](https://tex.z-dn.net/?f=%5C%2450%20%5Cleq%20s%5Cleq%20%5C%24100)
<em>Verify each case</em>
case 1) 25 ≤ s ≤ 50
The statement is false
see the procedure
case 2) 50 ≤ s ≤ 100
<u>The statement is True</u>
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
<u>The statement is true</u>
Because the value of s satisfy the compound inequality ![\$50 \leq s\leq \$100](https://tex.z-dn.net/?f=%5C%2450%20%5Cleq%20s%5Cleq%20%5C%24100)
case 6) She could deposit $75
<u>The statement is true</u>
Because the value of s satisfy the compound inequality ![\$50 \leq s\leq \$100](https://tex.z-dn.net/?f=%5C%2450%20%5Cleq%20s%5Cleq%20%5C%24100)